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Finding the Fourth Proportional to 3,052.55, 4,575.63 and 1,410.17

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Solution

The fourth proportional to 3,052.55, 4,575.63 and 1,410.17 is: 2,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.55 : 4,575.63 = 1,410.17 : x
  2. Step 2: Convert to fraction form
    3,052.55/4,575.63 = 1,410.17/x
  3. Step 3: Cross multiply
    3,052.55x = 4,575.63 × 1,410.17
  4. Step 4: Simplify right side
    3,052.55x = 6,452,422.31
  5. Step 5: Solve for x
    x = 6,452,422.31/3,052.55
  6. Step 6: Final answer
    x = 2,113.78

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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.