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Finding the Fourth Proportional to 2,045.84, 3,069.86 and 891.52

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Solution

The fourth proportional to 2,045.84, 3,069.86 and 891.52 is: 1,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.84 : 3,069.86 = 891.52 : x
  2. Step 2: Convert to fraction form
    2,045.84/3,069.86 = 891.52/x
  3. Step 3: Cross multiply
    2,045.84x = 3,069.86 × 891.52
  4. Step 4: Simplify right side
    2,045.84x = 2,736,841.59
  5. Step 5: Solve for x
    x = 2,736,841.59/2,045.84
  6. Step 6: Final answer
    x = 1,337.76

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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.