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Finding the Fourth Proportional to 1,367.91, 1,886.45 and 1,158.53

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Solution

The fourth proportional to 1,367.91, 1,886.45 and 1,158.53 is: 1,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.91 : 1,886.45 = 1,158.53 : x
  2. Step 2: Convert to fraction form
    1,367.91/1,886.45 = 1,158.53/x
  3. Step 3: Cross multiply
    1,367.91x = 1,886.45 × 1,158.53
  4. Step 4: Simplify right side
    1,367.91x = 2,185,502.38
  5. Step 5: Solve for x
    x = 2,185,502.38/1,367.91
  6. Step 6: Final answer
    x = 1,597.69

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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.