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Finding the Fourth Proportional to 1,757.52, 2,636.54 and 1,064.72

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Solution

The fourth proportional to 1,757.52, 2,636.54 and 1,064.72 is: 1,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.52 : 2,636.54 = 1,064.72 : x
  2. Step 2: Convert to fraction form
    1,757.52/2,636.54 = 1,064.72/x
  3. Step 3: Cross multiply
    1,757.52x = 2,636.54 × 1,064.72
  4. Step 4: Simplify right side
    1,757.52x = 2,807,176.87
  5. Step 5: Solve for x
    x = 2,807,176.87/1,757.52
  6. Step 6: Final answer
    x = 1,597.24

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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.