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Finding the Fourth Proportional to 1,727.16, 2,381.24 and 1,490.24

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Solution

The fourth proportional to 1,727.16, 2,381.24 and 1,490.24 is: 2,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.16 : 2,381.24 = 1,490.24 : x
  2. Step 2: Convert to fraction form
    1,727.16/2,381.24 = 1,490.24/x
  3. Step 3: Cross multiply
    1,727.16x = 2,381.24 × 1,490.24
  4. Step 4: Simplify right side
    1,727.16x = 3,548,599.74
  5. Step 5: Solve for x
    x = 3,548,599.74/1,727.16
  6. Step 6: Final answer
    x = 2,054.59

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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.