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Finding the Fourth Proportional to 1,225.45, 1,691.40 and 1,100.89

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Solution

The fourth proportional to 1,225.45, 1,691.40 and 1,100.89 is: 1,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.45 : 1,691.40 = 1,100.89 : x
  2. Step 2: Convert to fraction form
    1,225.45/1,691.40 = 1,100.89/x
  3. Step 3: Cross multiply
    1,225.45x = 1,691.40 × 1,100.89
  4. Step 4: Simplify right side
    1,225.45x = 1,862,045.35
  5. Step 5: Solve for x
    x = 1,862,045.35/1,225.45
  6. Step 6: Final answer
    x = 1,519.48

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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.