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Finding the Fourth Proportional to 1,948.75, 2,923.13 and 650.32

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Solution

The fourth proportional to 1,948.75, 2,923.13 and 650.32 is: 975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.75 : 2,923.13 = 650.32 : x
  2. Step 2: Convert to fraction form
    1,948.75/2,923.13 = 650.32/x
  3. Step 3: Cross multiply
    1,948.75x = 2,923.13 × 650.32
  4. Step 4: Simplify right side
    1,948.75x = 1,900,969.90
  5. Step 5: Solve for x
    x = 1,900,969.90/1,948.75
  6. Step 6: Final answer
    x = 975.48

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1.5x scale

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.