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Finding the Fourth Proportional to 1,876.43, 2,590.58 and 1,346.42

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Solution

The fourth proportional to 1,876.43, 2,590.58 and 1,346.42 is: 1,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.43 : 2,590.58 = 1,346.42 : x
  2. Step 2: Convert to fraction form
    1,876.43/2,590.58 = 1,346.42/x
  3. Step 3: Cross multiply
    1,876.43x = 2,590.58 × 1,346.42
  4. Step 4: Simplify right side
    1,876.43x = 3,488,018.57
  5. Step 5: Solve for x
    x = 3,488,018.57/1,876.43
  6. Step 6: Final answer
    x = 1,858.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.