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Finding the Fourth Proportional to 2,882.47, 4,322.74 and 1,127.02

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Solution

The fourth proportional to 2,882.47, 4,322.74 and 1,127.02 is: 1,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.47 : 4,322.74 = 1,127.02 : x
  2. Step 2: Convert to fraction form
    2,882.47/4,322.74 = 1,127.02/x
  3. Step 3: Cross multiply
    2,882.47x = 4,322.74 × 1,127.02
  4. Step 4: Simplify right side
    2,882.47x = 4,871,814.43
  5. Step 5: Solve for x
    x = 4,871,814.43/2,882.47
  6. Step 6: Final answer
    x = 1,690.15

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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.