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Finding the Fourth Proportional to 1,540.22, 2,125.54 and 841.60

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Solution

The fourth proportional to 1,540.22, 2,125.54 and 841.60 is: 1,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.22 : 2,125.54 = 841.60 : x
  2. Step 2: Convert to fraction form
    1,540.22/2,125.54 = 841.60/x
  3. Step 3: Cross multiply
    1,540.22x = 2,125.54 × 841.60
  4. Step 4: Simplify right side
    1,540.22x = 1,788,854.46
  5. Step 5: Solve for x
    x = 1,788,854.46/1,540.22
  6. Step 6: Final answer
    x = 1,161.43

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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.