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Finding the Fourth Proportional to 2,575.95, 3,864.10 and 1,277.07

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Solution

The fourth proportional to 2,575.95, 3,864.10 and 1,277.07 is: 1,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.95 : 3,864.10 = 1,277.07 : x
  2. Step 2: Convert to fraction form
    2,575.95/3,864.10 = 1,277.07/x
  3. Step 3: Cross multiply
    2,575.95x = 3,864.10 × 1,277.07
  4. Step 4: Simplify right side
    2,575.95x = 4,934,726.19
  5. Step 5: Solve for x
    x = 4,934,726.19/2,575.95
  6. Step 6: Final answer
    x = 1,915.69

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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.