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Finding the Fourth Proportional to 1,727.58, 2,384.60 and 1,065.40

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Solution

The fourth proportional to 1,727.58, 2,384.60 and 1,065.40 is: 1,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.58 : 2,384.60 = 1,065.40 : x
  2. Step 2: Convert to fraction form
    1,727.58/2,384.60 = 1,065.40/x
  3. Step 3: Cross multiply
    1,727.58x = 2,384.60 × 1,065.40
  4. Step 4: Simplify right side
    1,727.58x = 2,540,552.84
  5. Step 5: Solve for x
    x = 2,540,552.84/1,727.58
  6. Step 6: Final answer
    x = 1,470.58

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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.