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Finding the Fourth Proportional to 1,400.58, 1,929.69 and 1,138.14

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Solution

The fourth proportional to 1,400.58, 1,929.69 and 1,138.14 is: 1,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.58 : 1,929.69 = 1,138.14 : x
  2. Step 2: Convert to fraction form
    1,400.58/1,929.69 = 1,138.14/x
  3. Step 3: Cross multiply
    1,400.58x = 1,929.69 × 1,138.14
  4. Step 4: Simplify right side
    1,400.58x = 2,196,257.38
  5. Step 5: Solve for x
    x = 2,196,257.38/1,400.58
  6. Step 6: Final answer
    x = 1,568.11

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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.