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Finding the Fourth Proportional to 2,409.64, 3,314.80 and 2,109.64

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Solution

The fourth proportional to 2,409.64, 3,314.80 and 2,109.64 is: 2,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.64 : 3,314.80 = 2,109.64 : x
  2. Step 2: Convert to fraction form
    2,409.64/3,314.80 = 2,109.64/x
  3. Step 3: Cross multiply
    2,409.64x = 3,314.80 × 2,109.64
  4. Step 4: Simplify right side
    2,409.64x = 6,993,034.67
  5. Step 5: Solve for x
    x = 6,993,034.67/2,409.64
  6. Step 6: Final answer
    x = 2,902.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.