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Finding the Fourth Proportional to 1,948.14, 2,922.51 and 649.50

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Solution

The fourth proportional to 1,948.14, 2,922.51 and 649.50 is: 974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.14 : 2,922.51 = 649.50 : x
  2. Step 2: Convert to fraction form
    1,948.14/2,922.51 = 649.50/x
  3. Step 3: Cross multiply
    1,948.14x = 2,922.51 × 649.50
  4. Step 4: Simplify right side
    1,948.14x = 1,898,170.25
  5. Step 5: Solve for x
    x = 1,898,170.25/1,948.14
  6. Step 6: Final answer
    x = 974.35

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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.