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Finding the Fourth Proportional to 1,877.32, 2,590.21 and 1,213.12

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Solution

The fourth proportional to 1,877.32, 2,590.21 and 1,213.12 is: 1,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.32 : 2,590.21 = 1,213.12 : x
  2. Step 2: Convert to fraction form
    1,877.32/2,590.21 = 1,213.12/x
  3. Step 3: Cross multiply
    1,877.32x = 2,590.21 × 1,213.12
  4. Step 4: Simplify right side
    1,877.32x = 3,142,235.56
  5. Step 5: Solve for x
    x = 3,142,235.56/1,877.32
  6. Step 6: Final answer
    x = 1,673.79

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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.