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Finding the Fourth Proportional to 3,010.29, 4,154.65 and 1,831.13

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Solution

The fourth proportional to 3,010.29, 4,154.65 and 1,831.13 is: 2,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.29 : 4,154.65 = 1,831.13 : x
  2. Step 2: Convert to fraction form
    3,010.29/4,154.65 = 1,831.13/x
  3. Step 3: Cross multiply
    3,010.29x = 4,154.65 × 1,831.13
  4. Step 4: Simplify right side
    3,010.29x = 7,607,704.25
  5. Step 5: Solve for x
    x = 7,607,704.25/3,010.29
  6. Step 6: Final answer
    x = 2,527.24

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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.