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Finding the Fourth Proportional to 1,754.42, 2,633.67 and 1,024.52

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Solution

The fourth proportional to 1,754.42, 2,633.67 and 1,024.52 is: 1,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.42 : 2,633.67 = 1,024.52 : x
  2. Step 2: Convert to fraction form
    1,754.42/2,633.67 = 1,024.52/x
  3. Step 3: Cross multiply
    1,754.42x = 2,633.67 × 1,024.52
  4. Step 4: Simplify right side
    1,754.42x = 2,698,254.17
  5. Step 5: Solve for x
    x = 2,698,254.17/1,754.42
  6. Step 6: Final answer
    x = 1,537.97

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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.