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Finding the Fourth Proportional to 2,097.42, 3,144.78 and 1,001.76

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Solution

The fourth proportional to 2,097.42, 3,144.78 and 1,001.76 is: 1,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.42 : 3,144.78 = 1,001.76 : x
  2. Step 2: Convert to fraction form
    2,097.42/3,144.78 = 1,001.76/x
  3. Step 3: Cross multiply
    2,097.42x = 3,144.78 × 1,001.76
  4. Step 4: Simplify right side
    2,097.42x = 3,150,314.81
  5. Step 5: Solve for x
    x = 3,150,314.81/2,097.42
  6. Step 6: Final answer
    x = 1,502.00

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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.