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Finding the Fourth Proportional to 2,824.39, 4,235.91 and 975.57

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Solution

The fourth proportional to 2,824.39, 4,235.91 and 975.57 is: 1,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.39 : 4,235.91 = 975.57 : x
  2. Step 2: Convert to fraction form
    2,824.39/4,235.91 = 975.57/x
  3. Step 3: Cross multiply
    2,824.39x = 4,235.91 × 975.57
  4. Step 4: Simplify right side
    2,824.39x = 4,132,426.72
  5. Step 5: Solve for x
    x = 4,132,426.72/2,824.39
  6. Step 6: Final answer
    x = 1,463.12

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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.