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Finding the Fourth Proportional to 1,549.52, 2,134.81 and 1,269.76

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Solution

The fourth proportional to 1,549.52, 2,134.81 and 1,269.76 is: 1,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.52 : 2,134.81 = 1,269.76 : x
  2. Step 2: Convert to fraction form
    1,549.52/2,134.81 = 1,269.76/x
  3. Step 3: Cross multiply
    1,549.52x = 2,134.81 × 1,269.76
  4. Step 4: Simplify right side
    1,549.52x = 2,710,696.35
  5. Step 5: Solve for x
    x = 2,710,696.35/1,549.52
  6. Step 6: Final answer
    x = 1,749.38

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Why These Related Problems?

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