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Finding the Fourth Proportional to 1,456.59, 2,182.59 and 870.15

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Solution

The fourth proportional to 1,456.59, 2,182.59 and 870.15 is: 1,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.59 : 2,182.59 = 870.15 : x
  2. Step 2: Convert to fraction form
    1,456.59/2,182.59 = 870.15/x
  3. Step 3: Cross multiply
    1,456.59x = 2,182.59 × 870.15
  4. Step 4: Simplify right side
    1,456.59x = 1,899,180.69
  5. Step 5: Solve for x
    x = 1,899,180.69/1,456.59
  6. Step 6: Final answer
    x = 1,303.85

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