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Finding the Fourth Proportional to 2,049.52, 2,828.24 and 1,254.16

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Solution

The fourth proportional to 2,049.52, 2,828.24 and 1,254.16 is: 1,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.52 : 2,828.24 = 1,254.16 : x
  2. Step 2: Convert to fraction form
    2,049.52/2,828.24 = 1,254.16/x
  3. Step 3: Cross multiply
    2,049.52x = 2,828.24 × 1,254.16
  4. Step 4: Simplify right side
    2,049.52x = 3,547,065.48
  5. Step 5: Solve for x
    x = 3,547,065.48/2,049.52
  6. Step 6: Final answer
    x = 1,730.68

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