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Finding the Fourth Proportional to 2,047.95, 3,071.75 and 660.92

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Solution

The fourth proportional to 2,047.95, 3,071.75 and 660.92 is: 991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.95 : 3,071.75 = 660.92 : x
  2. Step 2: Convert to fraction form
    2,047.95/3,071.75 = 660.92/x
  3. Step 3: Cross multiply
    2,047.95x = 3,071.75 × 660.92
  4. Step 4: Simplify right side
    2,047.95x = 2,030,162.35
  5. Step 5: Solve for x
    x = 2,030,162.35/2,047.95
  6. Step 6: Final answer
    x = 991.31

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Why These Related Problems?

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