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Finding the Fourth Proportional to 1,948.64, 2,923 and 650.12

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Solution

The fourth proportional to 1,948.64, 2,923 and 650.12 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.64 : 2,923 = 650.12 : x
  2. Step 2: Convert to fraction form
    1,948.64/2,923 = 650.12/x
  3. Step 3: Cross multiply
    1,948.64x = 2,923 × 650.12
  4. Step 4: Simplify right side
    1,948.64x = 1,900,300.76
  5. Step 5: Solve for x
    x = 1,900,300.76/1,948.64
  6. Step 6: Final answer
    x = 975.19

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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.