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Finding the Fourth Proportional to 1,665.98, 2,498.68 and 611.57

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Solution

The fourth proportional to 1,665.98, 2,498.68 and 611.57 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.98 : 2,498.68 = 611.57 : x
  2. Step 2: Convert to fraction form
    1,665.98/2,498.68 = 611.57/x
  3. Step 3: Cross multiply
    1,665.98x = 2,498.68 × 611.57
  4. Step 4: Simplify right side
    1,665.98x = 1,528,117.73
  5. Step 5: Solve for x
    x = 1,528,117.73/1,665.98
  6. Step 6: Final answer
    x = 917.25

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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.