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Finding the Fourth Proportional to 2,366.51, 3,549.78 and 1,049.99

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Solution

The fourth proportional to 2,366.51, 3,549.78 and 1,049.99 is: 1,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.51 : 3,549.78 = 1,049.99 : x
  2. Step 2: Convert to fraction form
    2,366.51/3,549.78 = 1,049.99/x
  3. Step 3: Cross multiply
    2,366.51x = 3,549.78 × 1,049.99
  4. Step 4: Simplify right side
    2,366.51x = 3,727,215.75
  5. Step 5: Solve for x
    x = 3,727,215.75/2,366.51
  6. Step 6: Final answer
    x = 1,574.99

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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.