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Finding the Fourth Proportional to 2,095.86, 3,144.40 and 1,001.14

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Solution

The fourth proportional to 2,095.86, 3,144.40 and 1,001.14 is: 1,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.86 : 3,144.40 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    2,095.86/3,144.40 = 1,001.14/x
  3. Step 3: Cross multiply
    2,095.86x = 3,144.40 × 1,001.14
  4. Step 4: Simplify right side
    2,095.86x = 3,147,984.62
  5. Step 5: Solve for x
    x = 3,147,984.62/2,095.86
  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.