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Finding the Fourth Proportional to 3,097.25, 4,645.55 and 876.03

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Solution

The fourth proportional to 3,097.25, 4,645.55 and 876.03 is: 1,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.25 : 4,645.55 = 876.03 : x
  2. Step 2: Convert to fraction form
    3,097.25/4,645.55 = 876.03/x
  3. Step 3: Cross multiply
    3,097.25x = 4,645.55 × 876.03
  4. Step 4: Simplify right side
    3,097.25x = 4,069,641.17
  5. Step 5: Solve for x
    x = 4,069,641.17/3,097.25
  6. Step 6: Final answer
    x = 1,313.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.