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Finding the Fourth Proportional to 2,949.57, 4,070.57 and 1,690.83

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Solution

The fourth proportional to 2,949.57, 4,070.57 and 1,690.83 is: 2,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.57 : 4,070.57 = 1,690.83 : x
  2. Step 2: Convert to fraction form
    2,949.57/4,070.57 = 1,690.83/x
  3. Step 3: Cross multiply
    2,949.57x = 4,070.57 × 1,690.83
  4. Step 4: Simplify right side
    2,949.57x = 6,882,663.48
  5. Step 5: Solve for x
    x = 6,882,663.48/2,949.57
  6. Step 6: Final answer
    x = 2,333.45

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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.