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Finding the Fourth Proportional to 2,774.08, 4,160.64 and 1,042.40

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Solution

The fourth proportional to 2,774.08, 4,160.64 and 1,042.40 is: 1,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.08 : 4,160.64 = 1,042.40 : x
  2. Step 2: Convert to fraction form
    2,774.08/4,160.64 = 1,042.40/x
  3. Step 3: Cross multiply
    2,774.08x = 4,160.64 × 1,042.40
  4. Step 4: Simplify right side
    2,774.08x = 4,337,051.14
  5. Step 5: Solve for x
    x = 4,337,051.14/2,774.08
  6. Step 6: Final answer
    x = 1,563.42

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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.