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Finding the Fourth Proportional to 2,575.35, 3,862.53 and 1,014.93

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Solution

The fourth proportional to 2,575.35, 3,862.53 and 1,014.93 is: 1,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.35 : 3,862.53 = 1,014.93 : x
  2. Step 2: Convert to fraction form
    2,575.35/3,862.53 = 1,014.93/x
  3. Step 3: Cross multiply
    2,575.35x = 3,862.53 × 1,014.93
  4. Step 4: Simplify right side
    2,575.35x = 3,920,197.57
  5. Step 5: Solve for x
    x = 3,920,197.57/2,575.35
  6. Step 6: Final answer
    x = 1,522.20

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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.