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Finding the Fourth Proportional to 3,140.45, 4,710.70 and 831.95

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Solution

The fourth proportional to 3,140.45, 4,710.70 and 831.95 is: 1,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.45 : 4,710.70 = 831.95 : x
  2. Step 2: Convert to fraction form
    3,140.45/4,710.70 = 831.95/x
  3. Step 3: Cross multiply
    3,140.45x = 4,710.70 × 831.95
  4. Step 4: Simplify right side
    3,140.45x = 3,919,041.23
  5. Step 5: Solve for x
    x = 3,919,041.23/3,140.45
  6. Step 6: Final answer
    x = 1,247.93

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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.