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Finding the Fourth Proportional to 1,864.68, 2,572.74 and 1,068

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Solution

The fourth proportional to 1,864.68, 2,572.74 and 1,068 is: 1,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.68 : 2,572.74 = 1,068 : x
  2. Step 2: Convert to fraction form
    1,864.68/2,572.74 = 1,068/x
  3. Step 3: Cross multiply
    1,864.68x = 2,572.74 × 1,068
  4. Step 4: Simplify right side
    1,864.68x = 2,747,686.32
  5. Step 5: Solve for x
    x = 2,747,686.32/1,864.68
  6. Step 6: Final answer
    x = 1,473.54

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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.