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Finding the Fourth Proportional to 1,927.88, 2,658.66 and 1,265.30

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Solution

The fourth proportional to 1,927.88, 2,658.66 and 1,265.30 is: 1,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.88 : 2,658.66 = 1,265.30 : x
  2. Step 2: Convert to fraction form
    1,927.88/2,658.66 = 1,265.30/x
  3. Step 3: Cross multiply
    1,927.88x = 2,658.66 × 1,265.30
  4. Step 4: Simplify right side
    1,927.88x = 3,364,002.50
  5. Step 5: Solve for x
    x = 3,364,002.50/1,927.88
  6. Step 6: Final answer
    x = 1,744.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.