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Finding the Fourth Proportional to 2,949.71, 4,069.63 and 1,690.91

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Solution

The fourth proportional to 2,949.71, 4,069.63 and 1,690.91 is: 2,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.71 : 4,069.63 = 1,690.91 : x
  2. Step 2: Convert to fraction form
    2,949.71/4,069.63 = 1,690.91/x
  3. Step 3: Cross multiply
    2,949.71x = 4,069.63 × 1,690.91
  4. Step 4: Simplify right side
    2,949.71x = 6,881,378.06
  5. Step 5: Solve for x
    x = 6,881,378.06/2,949.71
  6. Step 6: Final answer
    x = 2,332.90

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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.