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Finding the Fourth Proportional to 2,470.60, 3,706.26 and 2,032.30

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Solution

The fourth proportional to 2,470.60, 3,706.26 and 2,032.30 is: 3,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.60 : 3,706.26 = 2,032.30 : x
  2. Step 2: Convert to fraction form
    2,470.60/3,706.26 = 2,032.30/x
  3. Step 3: Cross multiply
    2,470.60x = 3,706.26 × 2,032.30
  4. Step 4: Simplify right side
    2,470.60x = 7,532,232.20
  5. Step 5: Solve for x
    x = 7,532,232.20/2,470.60
  6. Step 6: Final answer
    x = 3,048.75

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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.