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Finding the Fourth Proportional to 2,470.70, 3,705.73 and 931.50

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Solution

The fourth proportional to 2,470.70, 3,705.73 and 931.50 is: 1,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.70 : 3,705.73 = 931.50 : x
  2. Step 2: Convert to fraction form
    2,470.70/3,705.73 = 931.50/x
  3. Step 3: Cross multiply
    2,470.70x = 3,705.73 × 931.50
  4. Step 4: Simplify right side
    2,470.70x = 3,451,887.50
  5. Step 5: Solve for x
    x = 3,451,887.50/2,470.70
  6. Step 6: Final answer
    x = 1,397.13

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Why These Related Problems?

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