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Finding the Fourth Proportional to 1,601.60, 2,210.18 and 902.97

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Solution

The fourth proportional to 1,601.60, 2,210.18 and 902.97 is: 1,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.60 : 2,210.18 = 902.97 : x
  2. Step 2: Convert to fraction form
    1,601.60/2,210.18 = 902.97/x
  3. Step 3: Cross multiply
    1,601.60x = 2,210.18 × 902.97
  4. Step 4: Simplify right side
    1,601.60x = 1,995,721.72
  5. Step 5: Solve for x
    x = 1,995,721.72/1,601.60
  6. Step 6: Final answer
    x = 1,246.08

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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.