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Finding the Fourth Proportional to 2,407.44, 3,606.90 and 1,106.17

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Solution

The fourth proportional to 2,407.44, 3,606.90 and 1,106.17 is: 1,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.44 : 3,606.90 = 1,106.17 : x
  2. Step 2: Convert to fraction form
    2,407.44/3,606.90 = 1,106.17/x
  3. Step 3: Cross multiply
    2,407.44x = 3,606.90 × 1,106.17
  4. Step 4: Simplify right side
    2,407.44x = 3,989,844.57
  5. Step 5: Solve for x
    x = 3,989,844.57/2,407.44
  6. Step 6: Final answer
    x = 1,657.30

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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.