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Finding the Fourth Proportional to 2,949.75, 4,071.06 and 1,707.75

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Solution

The fourth proportional to 2,949.75, 4,071.06 and 1,707.75 is: 2,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.75 : 4,071.06 = 1,707.75 : x
  2. Step 2: Convert to fraction form
    2,949.75/4,071.06 = 1,707.75/x
  3. Step 3: Cross multiply
    2,949.75x = 4,071.06 × 1,707.75
  4. Step 4: Simplify right side
    2,949.75x = 6,952,352.72
  5. Step 5: Solve for x
    x = 6,952,352.72/2,949.75
  6. Step 6: Final answer
    x = 2,356.93

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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.