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Finding the Fourth Proportional to 1,766.18, 2,645.62 and 1,460

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Solution

The fourth proportional to 1,766.18, 2,645.62 and 1,460 is: 2,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.18 : 2,645.62 = 1,460 : x
  2. Step 2: Convert to fraction form
    1,766.18/2,645.62 = 1,460/x
  3. Step 3: Cross multiply
    1,766.18x = 2,645.62 × 1,460
  4. Step 4: Simplify right side
    1,766.18x = 3,862,605.20
  5. Step 5: Solve for x
    x = 3,862,605.20/1,766.18
  6. Step 6: Final answer
    x = 2,186.98

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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.