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Finding the Fourth Proportional to 2,096.71, 3,145.47 and 1,001.16

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Solution

The fourth proportional to 2,096.71, 3,145.47 and 1,001.16 is: 1,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.71 : 3,145.47 = 1,001.16 : x
  2. Step 2: Convert to fraction form
    2,096.71/3,145.47 = 1,001.16/x
  3. Step 3: Cross multiply
    2,096.71x = 3,145.47 × 1,001.16
  4. Step 4: Simplify right side
    2,096.71x = 3,149,118.75
  5. Step 5: Solve for x
    x = 3,149,118.75/2,096.71
  6. Step 6: Final answer
    x = 1,501.93

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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.