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Finding the Fourth Proportional to 1,723.65, 2,379.02 and 1,134.24

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Solution

The fourth proportional to 1,723.65, 2,379.02 and 1,134.24 is: 1,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.65 : 2,379.02 = 1,134.24 : x
  2. Step 2: Convert to fraction form
    1,723.65/2,379.02 = 1,134.24/x
  3. Step 3: Cross multiply
    1,723.65x = 2,379.02 × 1,134.24
  4. Step 4: Simplify right side
    1,723.65x = 2,698,373.97
  5. Step 5: Solve for x
    x = 2,698,373.97/1,723.65
  6. Step 6: Final answer
    x = 1,565.50

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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.