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Finding the Fourth Proportional to 3,097.04, 4,645.44 and 788.52

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Solution

The fourth proportional to 3,097.04, 4,645.44 and 788.52 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.04 : 4,645.44 = 788.52 : x
  2. Step 2: Convert to fraction form
    3,097.04/4,645.44 = 788.52/x
  3. Step 3: Cross multiply
    3,097.04x = 4,645.44 × 788.52
  4. Step 4: Simplify right side
    3,097.04x = 3,663,022.35
  5. Step 5: Solve for x
    x = 3,663,022.35/3,097.04
  6. Step 6: Final answer
    x = 1,182.75

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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.