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Finding the Fourth Proportional to 2,952.47, 4,073.10 and 1,831.16

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Solution

The fourth proportional to 2,952.47, 4,073.10 and 1,831.16 is: 2,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.47 : 4,073.10 = 1,831.16 : x
  2. Step 2: Convert to fraction form
    2,952.47/4,073.10 = 1,831.16/x
  3. Step 3: Cross multiply
    2,952.47x = 4,073.10 × 1,831.16
  4. Step 4: Simplify right side
    2,952.47x = 7,458,497.80
  5. Step 5: Solve for x
    x = 7,458,497.80/2,952.47
  6. Step 6: Final answer
    x = 2,526.19

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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.