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Finding the Fourth Proportional to 1,924.70, 2,657.79 and 1,217.84

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Solution

The fourth proportional to 1,924.70, 2,657.79 and 1,217.84 is: 1,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.70 : 2,657.79 = 1,217.84 : x
  2. Step 2: Convert to fraction form
    1,924.70/2,657.79 = 1,217.84/x
  3. Step 3: Cross multiply
    1,924.70x = 2,657.79 × 1,217.84
  4. Step 4: Simplify right side
    1,924.70x = 3,236,762.97
  5. Step 5: Solve for x
    x = 3,236,762.97/1,924.70
  6. Step 6: Final answer
    x = 1,681.70

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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.