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Finding the Fourth Proportional to 1,948.85, 2,923.46 and 632.75

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Solution

The fourth proportional to 1,948.85, 2,923.46 and 632.75 is: 949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.85 : 2,923.46 = 632.75 : x
  2. Step 2: Convert to fraction form
    1,948.85/2,923.46 = 632.75/x
  3. Step 3: Cross multiply
    1,948.85x = 2,923.46 × 632.75
  4. Step 4: Simplify right side
    1,948.85x = 1,849,819.32
  5. Step 5: Solve for x
    x = 1,849,819.32/1,948.85
  6. Step 6: Final answer
    x = 949.19

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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.