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Finding the Fourth Proportional to 2,478.57, 3,713.25 and 1,774.32

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Solution

The fourth proportional to 2,478.57, 3,713.25 and 1,774.32 is: 2,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.57 : 3,713.25 = 1,774.32 : x
  2. Step 2: Convert to fraction form
    2,478.57/3,713.25 = 1,774.32/x
  3. Step 3: Cross multiply
    2,478.57x = 3,713.25 × 1,774.32
  4. Step 4: Simplify right side
    2,478.57x = 6,588,493.74
  5. Step 5: Solve for x
    x = 6,588,493.74/2,478.57
  6. Step 6: Final answer
    x = 2,658.19

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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.