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Finding the Fourth Proportional to 2,089.15, 2,883 and 1,144.93

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Solution

The fourth proportional to 2,089.15, 2,883 and 1,144.93 is: 1,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.15 : 2,883 = 1,144.93 : x
  2. Step 2: Convert to fraction form
    2,089.15/2,883 = 1,144.93/x
  3. Step 3: Cross multiply
    2,089.15x = 2,883 × 1,144.93
  4. Step 4: Simplify right side
    2,089.15x = 3,300,833.19
  5. Step 5: Solve for x
    x = 3,300,833.19/2,089.15
  6. Step 6: Final answer
    x = 1,579.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.