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Finding the Fourth Proportional to 1,601.74, 2,208.20 and 1,070.65

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Solution

The fourth proportional to 1,601.74, 2,208.20 and 1,070.65 is: 1,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.74 : 2,208.20 = 1,070.65 : x
  2. Step 2: Convert to fraction form
    1,601.74/2,208.20 = 1,070.65/x
  3. Step 3: Cross multiply
    1,601.74x = 2,208.20 × 1,070.65
  4. Step 4: Simplify right side
    1,601.74x = 2,364,209.33
  5. Step 5: Solve for x
    x = 2,364,209.33/1,601.74
  6. Step 6: Final answer
    x = 1,476.03

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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.