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Finding the Fourth Proportional to 2,265.60, 3,401.28 and 1,780.32

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Solution

The fourth proportional to 2,265.60, 3,401.28 and 1,780.32 is: 2,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.60 : 3,401.28 = 1,780.32 : x
  2. Step 2: Convert to fraction form
    2,265.60/3,401.28 = 1,780.32/x
  3. Step 3: Cross multiply
    2,265.60x = 3,401.28 × 1,780.32
  4. Step 4: Simplify right side
    2,265.60x = 6,055,366.81
  5. Step 5: Solve for x
    x = 6,055,366.81/2,265.60
  6. Step 6: Final answer
    x = 2,672.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.