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Finding the Fourth Proportional to 2,442.99, 3,665.97 and 1,056.06

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Solution

The fourth proportional to 2,442.99, 3,665.97 and 1,056.06 is: 1,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.99 : 3,665.97 = 1,056.06 : x
  2. Step 2: Convert to fraction form
    2,442.99/3,665.97 = 1,056.06/x
  3. Step 3: Cross multiply
    2,442.99x = 3,665.97 × 1,056.06
  4. Step 4: Simplify right side
    2,442.99x = 3,871,484.28
  5. Step 5: Solve for x
    x = 3,871,484.28/2,442.99
  6. Step 6: Final answer
    x = 1,584.73

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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.