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Finding the Fourth Proportional to 2,962.52, 4,088.24 and 1,720.52

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Solution

The fourth proportional to 2,962.52, 4,088.24 and 1,720.52 is: 2,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.52 : 4,088.24 = 1,720.52 : x
  2. Step 2: Convert to fraction form
    2,962.52/4,088.24 = 1,720.52/x
  3. Step 3: Cross multiply
    2,962.52x = 4,088.24 × 1,720.52
  4. Step 4: Simplify right side
    2,962.52x = 7,033,898.68
  5. Step 5: Solve for x
    x = 7,033,898.68/2,962.52
  6. Step 6: Final answer
    x = 2,374.30

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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.