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Finding the Fourth Proportional to 2,594.38, 3,580.66 and 1,532.16

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Solution

The fourth proportional to 2,594.38, 3,580.66 and 1,532.16 is: 2,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.38 : 3,580.66 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    2,594.38/3,580.66 = 1,532.16/x
  3. Step 3: Cross multiply
    2,594.38x = 3,580.66 × 1,532.16
  4. Step 4: Simplify right side
    2,594.38x = 5,486,144.03
  5. Step 5: Solve for x
    x = 5,486,144.03/2,594.38
  6. Step 6: Final answer
    x = 2,114.63

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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.