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Finding the Fourth Proportional to 2,575.95, 3,865.05 and 1,017.09

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Solution

The fourth proportional to 2,575.95, 3,865.05 and 1,017.09 is: 1,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.95 : 3,865.05 = 1,017.09 : x
  2. Step 2: Convert to fraction form
    2,575.95/3,865.05 = 1,017.09/x
  3. Step 3: Cross multiply
    2,575.95x = 3,865.05 × 1,017.09
  4. Step 4: Simplify right side
    2,575.95x = 3,931,103.70
  5. Step 5: Solve for x
    x = 3,931,103.70/2,575.95
  6. Step 6: Final answer
    x = 1,526.08

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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.