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Finding the Fourth Proportional to 1,723.91, 2,381.17 and 1,499.40

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Solution

The fourth proportional to 1,723.91, 2,381.17 and 1,499.40 is: 2,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.91 : 2,381.17 = 1,499.40 : x
  2. Step 2: Convert to fraction form
    1,723.91/2,381.17 = 1,499.40/x
  3. Step 3: Cross multiply
    1,723.91x = 2,381.17 × 1,499.40
  4. Step 4: Simplify right side
    1,723.91x = 3,570,326.30
  5. Step 5: Solve for x
    x = 3,570,326.30/1,723.91
  6. Step 6: Final answer
    x = 2,071.06

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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.