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Finding the Fourth Proportional to 1,856.39, 2,562.04 and 1,110.75

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Solution

The fourth proportional to 1,856.39, 2,562.04 and 1,110.75 is: 1,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.39 : 2,562.04 = 1,110.75 : x
  2. Step 2: Convert to fraction form
    1,856.39/2,562.04 = 1,110.75/x
  3. Step 3: Cross multiply
    1,856.39x = 2,562.04 × 1,110.75
  4. Step 4: Simplify right side
    1,856.39x = 2,845,785.93
  5. Step 5: Solve for x
    x = 2,845,785.93/1,856.39
  6. Step 6: Final answer
    x = 1,532.97

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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.