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Finding the Fourth Proportional to 1,369.11, 2,053.71 and 1,046.46

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Solution

The fourth proportional to 1,369.11, 2,053.71 and 1,046.46 is: 1,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.11 : 2,053.71 = 1,046.46 : x
  2. Step 2: Convert to fraction form
    1,369.11/2,053.71 = 1,046.46/x
  3. Step 3: Cross multiply
    1,369.11x = 2,053.71 × 1,046.46
  4. Step 4: Simplify right side
    1,369.11x = 2,149,125.37
  5. Step 5: Solve for x
    x = 2,149,125.37/1,369.11
  6. Step 6: Final answer
    x = 1,569.72

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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.