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Finding the Fourth Proportional to 1,403.06, 2,104.76 and 581.23

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Solution

The fourth proportional to 1,403.06, 2,104.76 and 581.23 is: 871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.06 : 2,104.76 = 581.23 : x
  2. Step 2: Convert to fraction form
    1,403.06/2,104.76 = 581.23/x
  3. Step 3: Cross multiply
    1,403.06x = 2,104.76 × 581.23
  4. Step 4: Simplify right side
    1,403.06x = 1,223,349.65
  5. Step 5: Solve for x
    x = 1,223,349.65/1,403.06
  6. Step 6: Final answer
    x = 871.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.