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Finding the Fourth Proportional to 1,856.72, 2,562.17 and 1,070.75

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Solution

The fourth proportional to 1,856.72, 2,562.17 and 1,070.75 is: 1,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.72 : 2,562.17 = 1,070.75 : x
  2. Step 2: Convert to fraction form
    1,856.72/2,562.17 = 1,070.75/x
  3. Step 3: Cross multiply
    1,856.72x = 2,562.17 × 1,070.75
  4. Step 4: Simplify right side
    1,856.72x = 2,743,444.58
  5. Step 5: Solve for x
    x = 2,743,444.58/1,856.72
  6. Step 6: Final answer
    x = 1,477.57

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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.