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Finding the Fourth Proportional to 2,894.76, 4,342.14 and 1,432.44

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Solution

The fourth proportional to 2,894.76, 4,342.14 and 1,432.44 is: 2,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.76 : 4,342.14 = 1,432.44 : x
  2. Step 2: Convert to fraction form
    2,894.76/4,342.14 = 1,432.44/x
  3. Step 3: Cross multiply
    2,894.76x = 4,342.14 × 1,432.44
  4. Step 4: Simplify right side
    2,894.76x = 6,219,855.02
  5. Step 5: Solve for x
    x = 6,219,855.02/2,894.76
  6. Step 6: Final answer
    x = 2,148.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.