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Finding the Fourth Proportional to 2,774.30, 4,160.22 and 1,041.71

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Solution

The fourth proportional to 2,774.30, 4,160.22 and 1,041.71 is: 1,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.30 : 4,160.22 = 1,041.71 : x
  2. Step 2: Convert to fraction form
    2,774.30/4,160.22 = 1,041.71/x
  3. Step 3: Cross multiply
    2,774.30x = 4,160.22 × 1,041.71
  4. Step 4: Simplify right side
    2,774.30x = 4,333,721.98
  5. Step 5: Solve for x
    x = 4,333,721.98/2,774.30
  6. Step 6: Final answer
    x = 1,562.10

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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.