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Finding the Fourth Proportional to 2,592.84, 3,870.33 and 2,248.59

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Solution

The fourth proportional to 2,592.84, 3,870.33 and 2,248.59 is: 3,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.84 : 3,870.33 = 2,248.59 : x
  2. Step 2: Convert to fraction form
    2,592.84/3,870.33 = 2,248.59/x
  3. Step 3: Cross multiply
    2,592.84x = 3,870.33 × 2,248.59
  4. Step 4: Simplify right side
    2,592.84x = 8,702,785.33
  5. Step 5: Solve for x
    x = 8,702,785.33/2,592.84
  6. Step 6: Final answer
    x = 3,356.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.