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Finding the Fourth Proportional to 2,400.74, 3,598.06 and 1,083.08

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Solution

The fourth proportional to 2,400.74, 3,598.06 and 1,083.08 is: 1,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.74 : 3,598.06 = 1,083.08 : x
  2. Step 2: Convert to fraction form
    2,400.74/3,598.06 = 1,083.08/x
  3. Step 3: Cross multiply
    2,400.74x = 3,598.06 × 1,083.08
  4. Step 4: Simplify right side
    2,400.74x = 3,896,986.82
  5. Step 5: Solve for x
    x = 3,896,986.82/2,400.74
  6. Step 6: Final answer
    x = 1,623.24

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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.