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Finding the Fourth Proportional to 2,898.52, 4,348.50 and 846.52

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Solution

The fourth proportional to 2,898.52, 4,348.50 and 846.52 is: 1,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.52 : 4,348.50 = 846.52 : x
  2. Step 2: Convert to fraction form
    2,898.52/4,348.50 = 846.52/x
  3. Step 3: Cross multiply
    2,898.52x = 4,348.50 × 846.52
  4. Step 4: Simplify right side
    2,898.52x = 3,681,092.22
  5. Step 5: Solve for x
    x = 3,681,092.22/2,898.52
  6. Step 6: Final answer
    x = 1,269.99

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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.