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Finding the Fourth Proportional to 2,587.64, 3,880.91 and 738.26

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Solution

The fourth proportional to 2,587.64, 3,880.91 and 738.26 is: 1,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.64 : 3,880.91 = 738.26 : x
  2. Step 2: Convert to fraction form
    2,587.64/3,880.91 = 738.26/x
  3. Step 3: Cross multiply
    2,587.64x = 3,880.91 × 738.26
  4. Step 4: Simplify right side
    2,587.64x = 2,865,133.55
  5. Step 5: Solve for x
    x = 2,865,133.55/2,587.64
  6. Step 6: Final answer
    x = 1,107.24

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Why These Related Problems?

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