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Finding the Fourth Proportional to 2,957.53, 4,081.61 and 1,698.94

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Solution

The fourth proportional to 2,957.53, 4,081.61 and 1,698.94 is: 2,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.53 : 4,081.61 = 1,698.94 : x
  2. Step 2: Convert to fraction form
    2,957.53/4,081.61 = 1,698.94/x
  3. Step 3: Cross multiply
    2,957.53x = 4,081.61 × 1,698.94
  4. Step 4: Simplify right side
    2,957.53x = 6,934,410.49
  5. Step 5: Solve for x
    x = 6,934,410.49/2,957.53
  6. Step 6: Final answer
    x = 2,344.66

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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.