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Finding the Fourth Proportional to 1,618.02, 2,232.36 and 988.80

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Solution

The fourth proportional to 1,618.02, 2,232.36 and 988.80 is: 1,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.02 : 2,232.36 = 988.80 : x
  2. Step 2: Convert to fraction form
    1,618.02/2,232.36 = 988.80/x
  3. Step 3: Cross multiply
    1,618.02x = 2,232.36 × 988.80
  4. Step 4: Simplify right side
    1,618.02x = 2,207,357.57
  5. Step 5: Solve for x
    x = 2,207,357.57/1,618.02
  6. Step 6: Final answer
    x = 1,364.23

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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.