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Finding the Fourth Proportional to 2,124.11, 3,187.40 and 891.42

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Solution

The fourth proportional to 2,124.11, 3,187.40 and 891.42 is: 1,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.11 : 3,187.40 = 891.42 : x
  2. Step 2: Convert to fraction form
    2,124.11/3,187.40 = 891.42/x
  3. Step 3: Cross multiply
    2,124.11x = 3,187.40 × 891.42
  4. Step 4: Simplify right side
    2,124.11x = 2,841,307.65
  5. Step 5: Solve for x
    x = 2,841,307.65/2,124.11
  6. Step 6: Final answer
    x = 1,337.65

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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.