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Finding the Fourth Proportional to 1,838.66, 2,537.36 and 1,052.69

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Solution

The fourth proportional to 1,838.66, 2,537.36 and 1,052.69 is: 1,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.66 : 2,537.36 = 1,052.69 : x
  2. Step 2: Convert to fraction form
    1,838.66/2,537.36 = 1,052.69/x
  3. Step 3: Cross multiply
    1,838.66x = 2,537.36 × 1,052.69
  4. Step 4: Simplify right side
    1,838.66x = 2,671,035.55
  5. Step 5: Solve for x
    x = 2,671,035.55/1,838.66
  6. Step 6: Final answer
    x = 1,452.71

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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.