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Finding the Fourth Proportional to 3,007.50, 4,150.71 and 2,307.66

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Solution

The fourth proportional to 3,007.50, 4,150.71 and 2,307.66 is: 3,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.50 : 4,150.71 = 2,307.66 : x
  2. Step 2: Convert to fraction form
    3,007.50/4,150.71 = 2,307.66/x
  3. Step 3: Cross multiply
    3,007.50x = 4,150.71 × 2,307.66
  4. Step 4: Simplify right side
    3,007.50x = 9,578,427.44
  5. Step 5: Solve for x
    x = 9,578,427.44/3,007.50
  6. Step 6: Final answer
    x = 3,184.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.