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Finding the Fourth Proportional to 3,002.35, 4,498.14 and 1,831.72

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Solution

The fourth proportional to 3,002.35, 4,498.14 and 1,831.72 is: 2,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.35 : 4,498.14 = 1,831.72 : x
  2. Step 2: Convert to fraction form
    3,002.35/4,498.14 = 1,831.72/x
  3. Step 3: Cross multiply
    3,002.35x = 4,498.14 × 1,831.72
  4. Step 4: Simplify right side
    3,002.35x = 8,239,333.00
  5. Step 5: Solve for x
    x = 8,239,333.00/3,002.35
  6. Step 6: Final answer
    x = 2,744.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.