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Finding the Fourth Proportional to 1,948.84, 2,922.82 and 562.18

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Solution

The fourth proportional to 1,948.84, 2,922.82 and 562.18 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.84 : 2,922.82 = 562.18 : x
  2. Step 2: Convert to fraction form
    1,948.84/2,922.82 = 562.18/x
  3. Step 3: Cross multiply
    1,948.84x = 2,922.82 × 562.18
  4. Step 4: Simplify right side
    1,948.84x = 1,643,150.95
  5. Step 5: Solve for x
    x = 1,643,150.95/1,948.84
  6. Step 6: Final answer
    x = 843.14

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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.