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Finding the Fourth Proportional to 1,648.84, 2,275.14 and 950.08

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Solution

The fourth proportional to 1,648.84, 2,275.14 and 950.08 is: 1,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.84 : 2,275.14 = 950.08 : x
  2. Step 2: Convert to fraction form
    1,648.84/2,275.14 = 950.08/x
  3. Step 3: Cross multiply
    1,648.84x = 2,275.14 × 950.08
  4. Step 4: Simplify right side
    1,648.84x = 2,161,565.01
  5. Step 5: Solve for x
    x = 2,161,565.01/1,648.84
  6. Step 6: Final answer
    x = 1,310.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.