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Finding the Fourth Proportional to 1,880.76, 2,817.50 and 1,445.79

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Solution

The fourth proportional to 1,880.76, 2,817.50 and 1,445.79 is: 2,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.76 : 2,817.50 = 1,445.79 : x
  2. Step 2: Convert to fraction form
    1,880.76/2,817.50 = 1,445.79/x
  3. Step 3: Cross multiply
    1,880.76x = 2,817.50 × 1,445.79
  4. Step 4: Simplify right side
    1,880.76x = 4,073,506.10
  5. Step 5: Solve for x
    x = 4,073,506.10/1,880.76
  6. Step 6: Final answer
    x = 2,165.88

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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.