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Finding the Fourth Proportional to 2,937.00, 4,399.86 and 1,823.11

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Solution

The fourth proportional to 2,937.00, 4,399.86 and 1,823.11 is: 2,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.00 : 4,399.86 = 1,823.11 : x
  2. Step 2: Convert to fraction form
    2,937.00/4,399.86 = 1,823.11/x
  3. Step 3: Cross multiply
    2,937.00x = 4,399.86 × 1,823.11
  4. Step 4: Simplify right side
    2,937.00x = 8,021,411.78
  5. Step 5: Solve for x
    x = 8,021,411.78/2,937.00
  6. Step 6: Final answer
    x = 2,731.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.