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Finding the Fourth Proportional to 2,752.04, 4,129.12 and 1,657.16

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Solution

The fourth proportional to 2,752.04, 4,129.12 and 1,657.16 is: 2,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.04 : 4,129.12 = 1,657.16 : x
  2. Step 2: Convert to fraction form
    2,752.04/4,129.12 = 1,657.16/x
  3. Step 3: Cross multiply
    2,752.04x = 4,129.12 × 1,657.16
  4. Step 4: Simplify right side
    2,752.04x = 6,842,612.50
  5. Step 5: Solve for x
    x = 6,842,612.50/2,752.04
  6. Step 6: Final answer
    x = 2,486.38

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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.