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Finding the Fourth Proportional to 1,773.40, 2,445.90 and 1,540.12

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Solution

The fourth proportional to 1,773.40, 2,445.90 and 1,540.12 is: 2,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.40 : 2,445.90 = 1,540.12 : x
  2. Step 2: Convert to fraction form
    1,773.40/2,445.90 = 1,540.12/x
  3. Step 3: Cross multiply
    1,773.40x = 2,445.90 × 1,540.12
  4. Step 4: Simplify right side
    1,773.40x = 3,766,967.28
  5. Step 5: Solve for x
    x = 3,766,967.28/1,773.40
  6. Step 6: Final answer
    x = 2,124.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.