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Finding the Fourth Proportional to 1,665.58, 2,498.14 and 972.58

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Solution

The fourth proportional to 1,665.58, 2,498.14 and 972.58 is: 1,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.58 : 2,498.14 = 972.58 : x
  2. Step 2: Convert to fraction form
    1,665.58/2,498.14 = 972.58/x
  3. Step 3: Cross multiply
    1,665.58x = 2,498.14 × 972.58
  4. Step 4: Simplify right side
    1,665.58x = 2,429,641.00
  5. Step 5: Solve for x
    x = 2,429,641.00/1,665.58
  6. Step 6: Final answer
    x = 1,458.74

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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.