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Finding the Fourth Proportional to 3,140.06, 4,710.10 and 831.56

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Solution

The fourth proportional to 3,140.06, 4,710.10 and 831.56 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.06 : 4,710.10 = 831.56 : x
  2. Step 2: Convert to fraction form
    3,140.06/4,710.10 = 831.56/x
  3. Step 3: Cross multiply
    3,140.06x = 4,710.10 × 831.56
  4. Step 4: Simplify right side
    3,140.06x = 3,916,730.76
  5. Step 5: Solve for x
    x = 3,916,730.76/3,140.06
  6. Step 6: Final answer
    x = 1,247.34

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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.