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Finding the Fourth Proportional to 1,484.43, 2,048.67 and 925.44

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Solution

The fourth proportional to 1,484.43, 2,048.67 and 925.44 is: 1,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.43 : 2,048.67 = 925.44 : x
  2. Step 2: Convert to fraction form
    1,484.43/2,048.67 = 925.44/x
  3. Step 3: Cross multiply
    1,484.43x = 2,048.67 × 925.44
  4. Step 4: Simplify right side
    1,484.43x = 1,895,921.16
  5. Step 5: Solve for x
    x = 1,895,921.16/1,484.43
  6. Step 6: Final answer
    x = 1,277.20

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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.