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Finding the Fourth Proportional to 2,599.64, 3,587.24 and 1,480.49

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Solution

The fourth proportional to 2,599.64, 3,587.24 and 1,480.49 is: 2,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.64 : 3,587.24 = 1,480.49 : x
  2. Step 2: Convert to fraction form
    2,599.64/3,587.24 = 1,480.49/x
  3. Step 3: Cross multiply
    2,599.64x = 3,587.24 × 1,480.49
  4. Step 4: Simplify right side
    2,599.64x = 5,310,858.71
  5. Step 5: Solve for x
    x = 5,310,858.71/2,599.64
  6. Step 6: Final answer
    x = 2,042.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.