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Finding the Fourth Proportional to 2,928.48, 4,394.07 and 1,468.68

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Solution

The fourth proportional to 2,928.48, 4,394.07 and 1,468.68 is: 2,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.48 : 4,394.07 = 1,468.68 : x
  2. Step 2: Convert to fraction form
    2,928.48/4,394.07 = 1,468.68/x
  3. Step 3: Cross multiply
    2,928.48x = 4,394.07 × 1,468.68
  4. Step 4: Simplify right side
    2,928.48x = 6,453,482.73
  5. Step 5: Solve for x
    x = 6,453,482.73/2,928.48
  6. Step 6: Final answer
    x = 2,203.70

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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.