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Finding the Fourth Proportional to 2,354.61, 3,534.12 and 1,122.87

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Solution

The fourth proportional to 2,354.61, 3,534.12 and 1,122.87 is: 1,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.61 : 3,534.12 = 1,122.87 : x
  2. Step 2: Convert to fraction form
    2,354.61/3,534.12 = 1,122.87/x
  3. Step 3: Cross multiply
    2,354.61x = 3,534.12 × 1,122.87
  4. Step 4: Simplify right side
    2,354.61x = 3,968,357.32
  5. Step 5: Solve for x
    x = 3,968,357.32/2,354.61
  6. Step 6: Final answer
    x = 1,685.36

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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.