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Finding the Fourth Proportional to 1,470.47, 2,203.56 and 921.08

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Solution

The fourth proportional to 1,470.47, 2,203.56 and 921.08 is: 1,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.47 : 2,203.56 = 921.08 : x
  2. Step 2: Convert to fraction form
    1,470.47/2,203.56 = 921.08/x
  3. Step 3: Cross multiply
    1,470.47x = 2,203.56 × 921.08
  4. Step 4: Simplify right side
    1,470.47x = 2,029,644.03
  5. Step 5: Solve for x
    x = 2,029,644.03/1,470.47
  6. Step 6: Final answer
    x = 1,380.27

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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.