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Finding the Fourth Proportional to 2,047.51, 3,071.33 and 660.86

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Solution

The fourth proportional to 2,047.51, 3,071.33 and 660.86 is: 991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.51 : 3,071.33 = 660.86 : x
  2. Step 2: Convert to fraction form
    2,047.51/3,071.33 = 660.86/x
  3. Step 3: Cross multiply
    2,047.51x = 3,071.33 × 660.86
  4. Step 4: Simplify right side
    2,047.51x = 2,029,718.20
  5. Step 5: Solve for x
    x = 2,029,718.20/2,047.51
  6. Step 6: Final answer
    x = 991.31

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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.