Home / 1,531.72-2,298.30-1,165.96

Finding the Fourth Proportional to 1,531.72, 2,298.30 and 1,165.96

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Solution

The fourth proportional to 1,531.72, 2,298.30 and 1,165.96 is: 1,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.72 : 2,298.30 = 1,165.96 : x
  2. Step 2: Convert to fraction form
    1,531.72/2,298.30 = 1,165.96/x
  3. Step 3: Cross multiply
    1,531.72x = 2,298.30 × 1,165.96
  4. Step 4: Simplify right side
    1,531.72x = 2,679,725.87
  5. Step 5: Solve for x
    x = 2,679,725.87/1,531.72
  6. Step 6: Final answer
    x = 1,749.49

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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.