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Finding the Fourth Proportional to 2,351.10, 3,526.65 and 596.10

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Solution

The fourth proportional to 2,351.10, 3,526.65 and 596.10 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.10 : 3,526.65 = 596.10 : x
  2. Step 2: Convert to fraction form
    2,351.10/3,526.65 = 596.10/x
  3. Step 3: Cross multiply
    2,351.10x = 3,526.65 × 596.10
  4. Step 4: Simplify right side
    2,351.10x = 2,102,236.07
  5. Step 5: Solve for x
    x = 2,102,236.07/2,351.10
  6. Step 6: Final answer
    x = 894.15

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Double scale
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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.