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Finding the Fourth Proportional to 1,734.80, 2,384.78 and 1,494.64

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Solution

The fourth proportional to 1,734.80, 2,384.78 and 1,494.64 is: 2,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.80 : 2,384.78 = 1,494.64 : x
  2. Step 2: Convert to fraction form
    1,734.80/2,384.78 = 1,494.64/x
  3. Step 3: Cross multiply
    1,734.80x = 2,384.78 × 1,494.64
  4. Step 4: Simplify right side
    1,734.80x = 3,564,385.35
  5. Step 5: Solve for x
    x = 3,564,385.35/1,734.80
  6. Step 6: Final answer
    x = 2,054.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.