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Finding the Fourth Proportional to 2,597.23, 3,895.08 and 931.10

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Solution

The fourth proportional to 2,597.23, 3,895.08 and 931.10 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.23 : 3,895.08 = 931.10 : x
  2. Step 2: Convert to fraction form
    2,597.23/3,895.08 = 931.10/x
  3. Step 3: Cross multiply
    2,597.23x = 3,895.08 × 931.10
  4. Step 4: Simplify right side
    2,597.23x = 3,626,702.93
  5. Step 5: Solve for x
    x = 3,626,702.93/2,597.23
  6. Step 6: Final answer
    x = 1,396.37

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.