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Finding the Fourth Proportional to 2,928.75, 4,037 and 2,455.71

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Solution

The fourth proportional to 2,928.75, 4,037 and 2,455.71 is: 3,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.75 : 4,037 = 2,455.71 : x
  2. Step 2: Convert to fraction form
    2,928.75/4,037 = 2,455.71/x
  3. Step 3: Cross multiply
    2,928.75x = 4,037 × 2,455.71
  4. Step 4: Simplify right side
    2,928.75x = 9,913,701.27
  5. Step 5: Solve for x
    x = 9,913,701.27/2,928.75
  6. Step 6: Final answer
    x = 3,384.96

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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.