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Finding the Fourth Proportional to 2,515.68, 3,774 and 872.16

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Solution

The fourth proportional to 2,515.68, 3,774 and 872.16 is: 1,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.68 : 3,774 = 872.16 : x
  2. Step 2: Convert to fraction form
    2,515.68/3,774 = 872.16/x
  3. Step 3: Cross multiply
    2,515.68x = 3,774 × 872.16
  4. Step 4: Simplify right side
    2,515.68x = 3,291,531.84
  5. Step 5: Solve for x
    x = 3,291,531.84/2,515.68
  6. Step 6: Final answer
    x = 1,308.41

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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.