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Finding the Fourth Proportional to 2,587.49, 3,880.70 and 738.11

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Solution

The fourth proportional to 2,587.49, 3,880.70 and 738.11 is: 1,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.49 : 3,880.70 = 738.11 : x
  2. Step 2: Convert to fraction form
    2,587.49/3,880.70 = 738.11/x
  3. Step 3: Cross multiply
    2,587.49x = 3,880.70 × 738.11
  4. Step 4: Simplify right side
    2,587.49x = 2,864,389.49
  5. Step 5: Solve for x
    x = 2,864,389.49/2,587.49
  6. Step 6: Final answer
    x = 1,107.01

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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.