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Finding the Fourth Proportional to 1,867.46, 2,798.14 and 1,134.82

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Solution

The fourth proportional to 1,867.46, 2,798.14 and 1,134.82 is: 1,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.46 : 2,798.14 = 1,134.82 : x
  2. Step 2: Convert to fraction form
    1,867.46/2,798.14 = 1,134.82/x
  3. Step 3: Cross multiply
    1,867.46x = 2,798.14 × 1,134.82
  4. Step 4: Simplify right side
    1,867.46x = 3,175,385.23
  5. Step 5: Solve for x
    x = 3,175,385.23/1,867.46
  6. Step 6: Final answer
    x = 1,700.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.