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Finding the Fourth Proportional to 3,203.92, 4,421.64 and 1,877.14

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Solution

The fourth proportional to 3,203.92, 4,421.64 and 1,877.14 is: 2,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.92 : 4,421.64 = 1,877.14 : x
  2. Step 2: Convert to fraction form
    3,203.92/4,421.64 = 1,877.14/x
  3. Step 3: Cross multiply
    3,203.92x = 4,421.64 × 1,877.14
  4. Step 4: Simplify right side
    3,203.92x = 8,300,037.31
  5. Step 5: Solve for x
    x = 8,300,037.31/3,203.92
  6. Step 6: Final answer
    x = 2,590.59

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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.