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Finding the Fourth Proportional to 2,898.04, 4,346.78 and 949.72

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Solution

The fourth proportional to 2,898.04, 4,346.78 and 949.72 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.04 : 4,346.78 = 949.72 : x
  2. Step 2: Convert to fraction form
    2,898.04/4,346.78 = 949.72/x
  3. Step 3: Cross multiply
    2,898.04x = 4,346.78 × 949.72
  4. Step 4: Simplify right side
    2,898.04x = 4,128,223.90
  5. Step 5: Solve for x
    x = 4,128,223.90/2,898.04
  6. Step 6: Final answer
    x = 1,424.49

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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.