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Finding the Fourth Proportional to 1,957.23, 2,698.89 and 1,600.46

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Solution

The fourth proportional to 1,957.23, 2,698.89 and 1,600.46 is: 2,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.23 : 2,698.89 = 1,600.46 : x
  2. Step 2: Convert to fraction form
    1,957.23/2,698.89 = 1,600.46/x
  3. Step 3: Cross multiply
    1,957.23x = 2,698.89 × 1,600.46
  4. Step 4: Simplify right side
    1,957.23x = 4,319,456.11
  5. Step 5: Solve for x
    x = 4,319,456.11/1,957.23
  6. Step 6: Final answer
    x = 2,206.92

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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.