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Finding the Fourth Proportional to 3,308.49, 4,565.70 and 1,816.38

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Solution

The fourth proportional to 3,308.49, 4,565.70 and 1,816.38 is: 2,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.49 : 4,565.70 = 1,816.38 : x
  2. Step 2: Convert to fraction form
    3,308.49/4,565.70 = 1,816.38/x
  3. Step 3: Cross multiply
    3,308.49x = 4,565.70 × 1,816.38
  4. Step 4: Simplify right side
    3,308.49x = 8,293,046.17
  5. Step 5: Solve for x
    x = 8,293,046.17/3,308.49
  6. Step 6: Final answer
    x = 2,506.60

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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.