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Finding the Fourth Proportional to 1,629.57, 2,248.85 and 921.27

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Solution

The fourth proportional to 1,629.57, 2,248.85 and 921.27 is: 1,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.57 : 2,248.85 = 921.27 : x
  2. Step 2: Convert to fraction form
    1,629.57/2,248.85 = 921.27/x
  3. Step 3: Cross multiply
    1,629.57x = 2,248.85 × 921.27
  4. Step 4: Simplify right side
    1,629.57x = 2,071,798.04
  5. Step 5: Solve for x
    x = 2,071,798.04/1,629.57
  6. Step 6: Final answer
    x = 1,271.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.