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Finding the Fourth Proportional to 2,312.57, 3,470.54 and 926.30

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Solution

The fourth proportional to 2,312.57, 3,470.54 and 926.30 is: 1,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.57 : 3,470.54 = 926.30 : x
  2. Step 2: Convert to fraction form
    2,312.57/3,470.54 = 926.30/x
  3. Step 3: Cross multiply
    2,312.57x = 3,470.54 × 926.30
  4. Step 4: Simplify right side
    2,312.57x = 3,214,765.25
  5. Step 5: Solve for x
    x = 3,214,765.25/2,312.57
  6. Step 6: Final answer
    x = 1,390.13

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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.