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Finding the Fourth Proportional to 1,931.12, 2,892.36 and 1,887.92

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Solution

The fourth proportional to 1,931.12, 2,892.36 and 1,887.92 is: 2,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.12 : 2,892.36 = 1,887.92 : x
  2. Step 2: Convert to fraction form
    1,931.12/2,892.36 = 1,887.92/x
  3. Step 3: Cross multiply
    1,931.12x = 2,892.36 × 1,887.92
  4. Step 4: Simplify right side
    1,931.12x = 5,460,544.29
  5. Step 5: Solve for x
    x = 5,460,544.29/1,931.12
  6. Step 6: Final answer
    x = 2,827.66

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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.