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Finding the Fourth Proportional to 3,069.06, 4,603.52 and 760.56

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Solution

The fourth proportional to 3,069.06, 4,603.52 and 760.56 is: 1,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.06 : 4,603.52 = 760.56 : x
  2. Step 2: Convert to fraction form
    3,069.06/4,603.52 = 760.56/x
  3. Step 3: Cross multiply
    3,069.06x = 4,603.52 × 760.56
  4. Step 4: Simplify right side
    3,069.06x = 3,501,253.17
  5. Step 5: Solve for x
    x = 3,501,253.17/3,069.06
  6. Step 6: Final answer
    x = 1,140.82

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