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Finding the Fourth Proportional to 3,203.68, 4,421.25 and 1,877.20

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Solution

The fourth proportional to 3,203.68, 4,421.25 and 1,877.20 is: 2,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.68 : 4,421.25 = 1,877.20 : x
  2. Step 2: Convert to fraction form
    3,203.68/4,421.25 = 1,877.20/x
  3. Step 3: Cross multiply
    3,203.68x = 4,421.25 × 1,877.20
  4. Step 4: Simplify right side
    3,203.68x = 8,299,570.50
  5. Step 5: Solve for x
    x = 8,299,570.50/3,203.68
  6. Step 6: Final answer
    x = 2,590.64

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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.