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Finding the Fourth Proportional to 2,931.02, 4,044.96 and 2,187

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Solution

The fourth proportional to 2,931.02, 4,044.96 and 2,187 is: 3,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.02 : 4,044.96 = 2,187 : x
  2. Step 2: Convert to fraction form
    2,931.02/4,044.96 = 2,187/x
  3. Step 3: Cross multiply
    2,931.02x = 4,044.96 × 2,187
  4. Step 4: Simplify right side
    2,931.02x = 8,846,327.52
  5. Step 5: Solve for x
    x = 8,846,327.52/2,931.02
  6. Step 6: Final answer
    x = 3,018.17

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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.