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Finding the Fourth Proportional to 1,648.34, 2,274.65 and 984.80

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Solution

The fourth proportional to 1,648.34, 2,274.65 and 984.80 is: 1,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.34 : 2,274.65 = 984.80 : x
  2. Step 2: Convert to fraction form
    1,648.34/2,274.65 = 984.80/x
  3. Step 3: Cross multiply
    1,648.34x = 2,274.65 × 984.80
  4. Step 4: Simplify right side
    1,648.34x = 2,240,065.86
  5. Step 5: Solve for x
    x = 2,240,065.86/1,648.34
  6. Step 6: Final answer
    x = 1,358.99

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