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Finding the Fourth Proportional to 2,389.12, 3,585.12 and 849.92

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Solution

The fourth proportional to 2,389.12, 3,585.12 and 849.92 is: 1,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.12 : 3,585.12 = 849.92 : x
  2. Step 2: Convert to fraction form
    2,389.12/3,585.12 = 849.92/x
  3. Step 3: Cross multiply
    2,389.12x = 3,585.12 × 849.92
  4. Step 4: Simplify right side
    2,389.12x = 3,047,065.19
  5. Step 5: Solve for x
    x = 3,047,065.19/2,389.12
  6. Step 6: Final answer
    x = 1,275.39

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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.