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Finding the Fourth Proportional to 1,597.61, 2,393.35 and 979.52

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Solution

The fourth proportional to 1,597.61, 2,393.35 and 979.52 is: 1,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.61 : 2,393.35 = 979.52 : x
  2. Step 2: Convert to fraction form
    1,597.61/2,393.35 = 979.52/x
  3. Step 3: Cross multiply
    1,597.61x = 2,393.35 × 979.52
  4. Step 4: Simplify right side
    1,597.61x = 2,344,319.78
  5. Step 5: Solve for x
    x = 2,344,319.78/1,597.61
  6. Step 6: Final answer
    x = 1,467.39

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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.