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Finding the Fourth Proportional to 2,894.36, 4,340.26 and 1,432.92

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Solution

The fourth proportional to 2,894.36, 4,340.26 and 1,432.92 is: 2,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.36 : 4,340.26 = 1,432.92 : x
  2. Step 2: Convert to fraction form
    2,894.36/4,340.26 = 1,432.92/x
  3. Step 3: Cross multiply
    2,894.36x = 4,340.26 × 1,432.92
  4. Step 4: Simplify right side
    2,894.36x = 6,219,245.36
  5. Step 5: Solve for x
    x = 6,219,245.36/2,894.36
  6. Step 6: Final answer
    x = 2,148.75

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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.