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Finding the Fourth Proportional to 1,838.64, 2,537.15 and 1,052.54

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Solution

The fourth proportional to 1,838.64, 2,537.15 and 1,052.54 is: 1,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 2,537.15 = 1,052.54 : x
  2. Step 2: Convert to fraction form
    1,838.64/2,537.15 = 1,052.54/x
  3. Step 3: Cross multiply
    1,838.64x = 2,537.15 × 1,052.54
  4. Step 4: Simplify right side
    1,838.64x = 2,670,433.91
  5. Step 5: Solve for x
    x = 2,670,433.91/1,838.64
  6. Step 6: Final answer
    x = 1,452.40

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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.