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Finding the Fourth Proportional to 1,758.72, 2,635.92 and 1,542.72

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Solution

The fourth proportional to 1,758.72, 2,635.92 and 1,542.72 is: 2,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.72 : 2,635.92 = 1,542.72 : x
  2. Step 2: Convert to fraction form
    1,758.72/2,635.92 = 1,542.72/x
  3. Step 3: Cross multiply
    1,758.72x = 2,635.92 × 1,542.72
  4. Step 4: Simplify right side
    1,758.72x = 4,066,486.50
  5. Step 5: Solve for x
    x = 4,066,486.50/1,758.72
  6. Step 6: Final answer
    x = 2,312.19

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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.