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Finding the Fourth Proportional to 3,069.30, 4,603.90 and 760.80

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Solution

The fourth proportional to 3,069.30, 4,603.90 and 760.80 is: 1,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.30 : 4,603.90 = 760.80 : x
  2. Step 2: Convert to fraction form
    3,069.30/4,603.90 = 760.80/x
  3. Step 3: Cross multiply
    3,069.30x = 4,603.90 × 760.80
  4. Step 4: Simplify right side
    3,069.30x = 3,502,645.22
  5. Step 5: Solve for x
    x = 3,502,645.22/3,069.30
  6. Step 6: Final answer
    x = 1,141.19

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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.