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Finding the Fourth Proportional to 1,530.43, 2,294.05 and 870.89

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Solution

The fourth proportional to 1,530.43, 2,294.05 and 870.89 is: 1,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.43 : 2,294.05 = 870.89 : x
  2. Step 2: Convert to fraction form
    1,530.43/2,294.05 = 870.89/x
  3. Step 3: Cross multiply
    1,530.43x = 2,294.05 × 870.89
  4. Step 4: Simplify right side
    1,530.43x = 1,997,865.20
  5. Step 5: Solve for x
    x = 1,997,865.20/1,530.43
  6. Step 6: Final answer
    x = 1,305.43

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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.