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Finding the Fourth Proportional to 2,703.90, 3,732.96 and 1,774.02

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Solution

The fourth proportional to 2,703.90, 3,732.96 and 1,774.02 is: 2,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.90 : 3,732.96 = 1,774.02 : x
  2. Step 2: Convert to fraction form
    2,703.90/3,732.96 = 1,774.02/x
  3. Step 3: Cross multiply
    2,703.90x = 3,732.96 × 1,774.02
  4. Step 4: Simplify right side
    2,703.90x = 6,622,345.70
  5. Step 5: Solve for x
    x = 6,622,345.70/2,703.90
  6. Step 6: Final answer
    x = 2,449.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.