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Finding the Fourth Proportional to 3,102.45, 4,655.04 and 1,257.17

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Solution

The fourth proportional to 3,102.45, 4,655.04 and 1,257.17 is: 1,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.45 : 4,655.04 = 1,257.17 : x
  2. Step 2: Convert to fraction form
    3,102.45/4,655.04 = 1,257.17/x
  3. Step 3: Cross multiply
    3,102.45x = 4,655.04 × 1,257.17
  4. Step 4: Simplify right side
    3,102.45x = 5,852,153.36
  5. Step 5: Solve for x
    x = 5,852,153.36/3,102.45
  6. Step 6: Final answer
    x = 1,886.30

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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.