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Finding the Fourth Proportional to 1,116.68, 1,674.09 and 1,102.10

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Solution

The fourth proportional to 1,116.68, 1,674.09 and 1,102.10 is: 1,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.68 : 1,674.09 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    1,116.68/1,674.09 = 1,102.10/x
  3. Step 3: Cross multiply
    1,116.68x = 1,674.09 × 1,102.10
  4. Step 4: Simplify right side
    1,116.68x = 1,845,006.22
  5. Step 5: Solve for x
    x = 1,845,006.22/1,116.68
  6. Step 6: Final answer
    x = 1,652.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.