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Finding the Fourth Proportional to 2,399.90, 3,599.28 and 918.81

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Solution

The fourth proportional to 2,399.90, 3,599.28 and 918.81 is: 1,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.90 : 3,599.28 = 918.81 : x
  2. Step 2: Convert to fraction form
    2,399.90/3,599.28 = 918.81/x
  3. Step 3: Cross multiply
    2,399.90x = 3,599.28 × 918.81
  4. Step 4: Simplify right side
    2,399.90x = 3,307,054.46
  5. Step 5: Solve for x
    x = 3,307,054.46/2,399.90
  6. Step 6: Final answer
    x = 1,378.00

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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.