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Finding the Fourth Proportional to 3,102.69, 4,653.57 and 1,253.76

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Solution

The fourth proportional to 3,102.69, 4,653.57 and 1,253.76 is: 1,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.69 : 4,653.57 = 1,253.76 : x
  2. Step 2: Convert to fraction form
    3,102.69/4,653.57 = 1,253.76/x
  3. Step 3: Cross multiply
    3,102.69x = 4,653.57 × 1,253.76
  4. Step 4: Simplify right side
    3,102.69x = 5,834,459.92
  5. Step 5: Solve for x
    x = 5,834,459.92/3,102.69
  6. Step 6: Final answer
    x = 1,880.45

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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.