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Finding the Fourth Proportional to 1,572.66, 2,358.52 and 1,027.73

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Solution

The fourth proportional to 1,572.66, 2,358.52 and 1,027.73 is: 1,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.66 : 2,358.52 = 1,027.73 : x
  2. Step 2: Convert to fraction form
    1,572.66/2,358.52 = 1,027.73/x
  3. Step 3: Cross multiply
    1,572.66x = 2,358.52 × 1,027.73
  4. Step 4: Simplify right side
    1,572.66x = 2,423,925.09
  5. Step 5: Solve for x
    x = 2,423,925.09/1,572.66
  6. Step 6: Final answer
    x = 1,541.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.