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Finding the Fourth Proportional to 3,265.19, 4,506 and 1,867.94

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Solution

The fourth proportional to 3,265.19, 4,506 and 1,867.94 is: 2,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.19 : 4,506 = 1,867.94 : x
  2. Step 2: Convert to fraction form
    3,265.19/4,506 = 1,867.94/x
  3. Step 3: Cross multiply
    3,265.19x = 4,506 × 1,867.94
  4. Step 4: Simplify right side
    3,265.19x = 8,416,937.64
  5. Step 5: Solve for x
    x = 8,416,937.64/3,265.19
  6. Step 6: Final answer
    x = 2,577.78

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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.