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Finding the Fourth Proportional to 2,885.93, 3,983.53 and 2,142.35

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Solution

The fourth proportional to 2,885.93, 3,983.53 and 2,142.35 is: 2,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.93 : 3,983.53 = 2,142.35 : x
  2. Step 2: Convert to fraction form
    2,885.93/3,983.53 = 2,142.35/x
  3. Step 3: Cross multiply
    2,885.93x = 3,983.53 × 2,142.35
  4. Step 4: Simplify right side
    2,885.93x = 8,534,109.18
  5. Step 5: Solve for x
    x = 8,534,109.18/2,885.93
  6. Step 6: Final answer
    x = 2,957.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.