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Finding the Fourth Proportional to 1,277.85, 1,908.16 and 1,270.17

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Solution

The fourth proportional to 1,277.85, 1,908.16 and 1,270.17 is: 1,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.85 : 1,908.16 = 1,270.17 : x
  2. Step 2: Convert to fraction form
    1,277.85/1,908.16 = 1,270.17/x
  3. Step 3: Cross multiply
    1,277.85x = 1,908.16 × 1,270.17
  4. Step 4: Simplify right side
    1,277.85x = 2,423,684.41
  5. Step 5: Solve for x
    x = 2,423,684.41/1,277.85
  6. Step 6: Final answer
    x = 1,896.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.