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Finding the Fourth Proportional to 1,407.30, 2,096.12 and 1,344.12

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Solution

The fourth proportional to 1,407.30, 2,096.12 and 1,344.12 is: 2,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.30 : 2,096.12 = 1,344.12 : x
  2. Step 2: Convert to fraction form
    1,407.30/2,096.12 = 1,344.12/x
  3. Step 3: Cross multiply
    1,407.30x = 2,096.12 × 1,344.12
  4. Step 4: Simplify right side
    1,407.30x = 2,817,436.81
  5. Step 5: Solve for x
    x = 2,817,436.81/1,407.30
  6. Step 6: Final answer
    x = 2,002.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.