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Finding the Fourth Proportional to 2,594.64, 3,580.16 and 2,463.28

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Solution

The fourth proportional to 2,594.64, 3,580.16 and 2,463.28 is: 3,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.64 : 3,580.16 = 2,463.28 : x
  2. Step 2: Convert to fraction form
    2,594.64/3,580.16 = 2,463.28/x
  3. Step 3: Cross multiply
    2,594.64x = 3,580.16 × 2,463.28
  4. Step 4: Simplify right side
    2,594.64x = 8,818,936.52
  5. Step 5: Solve for x
    x = 8,818,936.52/2,594.64
  6. Step 6: Final answer
    x = 3,398.91

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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.