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Finding the Fourth Proportional to 1,913.72, 2,639.75 and 1,266.95

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Solution

The fourth proportional to 1,913.72, 2,639.75 and 1,266.95 is: 1,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.72 : 2,639.75 = 1,266.95 : x
  2. Step 2: Convert to fraction form
    1,913.72/2,639.75 = 1,266.95/x
  3. Step 3: Cross multiply
    1,913.72x = 2,639.75 × 1,266.95
  4. Step 4: Simplify right side
    1,913.72x = 3,344,411.73
  5. Step 5: Solve for x
    x = 3,344,411.73/1,913.72
  6. Step 6: Final answer
    x = 1,747.60

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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.