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Finding the Fourth Proportional to 2,860.16, 4,287.84 and 1,127.84

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Solution

The fourth proportional to 2,860.16, 4,287.84 and 1,127.84 is: 1,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.16 : 4,287.84 = 1,127.84 : x
  2. Step 2: Convert to fraction form
    2,860.16/4,287.84 = 1,127.84/x
  3. Step 3: Cross multiply
    2,860.16x = 4,287.84 × 1,127.84
  4. Step 4: Simplify right side
    2,860.16x = 4,835,997.47
  5. Step 5: Solve for x
    x = 4,835,997.47/2,860.16
  6. Step 6: Final answer
    x = 1,690.81

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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.