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Finding the Fourth Proportional to 1,530.10, 2,291.49 and 878.86

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Solution

The fourth proportional to 1,530.10, 2,291.49 and 878.86 is: 1,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.10 : 2,291.49 = 878.86 : x
  2. Step 2: Convert to fraction form
    1,530.10/2,291.49 = 878.86/x
  3. Step 3: Cross multiply
    1,530.10x = 2,291.49 × 878.86
  4. Step 4: Simplify right side
    1,530.10x = 2,013,898.90
  5. Step 5: Solve for x
    x = 2,013,898.90/1,530.10
  6. Step 6: Final answer
    x = 1,316.19

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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.