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Finding the Fourth Proportional to 2,594.34, 3,869.03 and 2,419.38

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Solution

The fourth proportional to 2,594.34, 3,869.03 and 2,419.38 is: 3,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.34 : 3,869.03 = 2,419.38 : x
  2. Step 2: Convert to fraction form
    2,594.34/3,869.03 = 2,419.38/x
  3. Step 3: Cross multiply
    2,594.34x = 3,869.03 × 2,419.38
  4. Step 4: Simplify right side
    2,594.34x = 9,360,653.80
  5. Step 5: Solve for x
    x = 9,360,653.80/2,594.34
  6. Step 6: Final answer
    x = 3,608.11

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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.