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Finding the Fourth Proportional to 1,613.71, 2,226.30 and 1,054

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Solution

The fourth proportional to 1,613.71, 2,226.30 and 1,054 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.71 : 2,226.30 = 1,054 : x
  2. Step 2: Convert to fraction form
    1,613.71/2,226.30 = 1,054/x
  3. Step 3: Cross multiply
    1,613.71x = 2,226.30 × 1,054
  4. Step 4: Simplify right side
    1,613.71x = 2,346,520.20
  5. Step 5: Solve for x
    x = 2,346,520.20/1,613.71
  6. Step 6: Final answer
    x = 1,454.12

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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.