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Finding the Fourth Proportional to 3,099.84, 4,277.76 and 1,683.52

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Solution

The fourth proportional to 3,099.84, 4,277.76 and 1,683.52 is: 2,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.84 : 4,277.76 = 1,683.52 : x
  2. Step 2: Convert to fraction form
    3,099.84/4,277.76 = 1,683.52/x
  3. Step 3: Cross multiply
    3,099.84x = 4,277.76 × 1,683.52
  4. Step 4: Simplify right side
    3,099.84x = 7,201,677.34
  5. Step 5: Solve for x
    x = 7,201,677.34/3,099.84
  6. Step 6: Final answer
    x = 2,323.24

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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.