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Finding the Fourth Proportional to 2,045.72, 3,069.84 and 891.56

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Solution

The fourth proportional to 2,045.72, 3,069.84 and 891.56 is: 1,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.72 : 3,069.84 = 891.56 : x
  2. Step 2: Convert to fraction form
    2,045.72/3,069.84 = 891.56/x
  3. Step 3: Cross multiply
    2,045.72x = 3,069.84 × 891.56
  4. Step 4: Simplify right side
    2,045.72x = 2,736,946.55
  5. Step 5: Solve for x
    x = 2,736,946.55/2,045.72
  6. Step 6: Final answer
    x = 1,337.89

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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.