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Finding the Fourth Proportional to 2,898.77, 4,348.68 and 952.34

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Solution

The fourth proportional to 2,898.77, 4,348.68 and 952.34 is: 1,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.77 : 4,348.68 = 952.34 : x
  2. Step 2: Convert to fraction form
    2,898.77/4,348.68 = 952.34/x
  3. Step 3: Cross multiply
    2,898.77x = 4,348.68 × 952.34
  4. Step 4: Simplify right side
    2,898.77x = 4,141,400.17
  5. Step 5: Solve for x
    x = 4,141,400.17/2,898.77
  6. Step 6: Final answer
    x = 1,428.68

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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.