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Finding the Fourth Proportional to 1,589.70, 2,381.35 and 1,010.50

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Solution

The fourth proportional to 1,589.70, 2,381.35 and 1,010.50 is: 1,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.70 : 2,381.35 = 1,010.50 : x
  2. Step 2: Convert to fraction form
    1,589.70/2,381.35 = 1,010.50/x
  3. Step 3: Cross multiply
    1,589.70x = 2,381.35 × 1,010.50
  4. Step 4: Simplify right side
    1,589.70x = 2,406,354.18
  5. Step 5: Solve for x
    x = 2,406,354.18/1,589.70
  6. Step 6: Final answer
    x = 1,513.72

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Why These Related Problems?

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