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Finding the Fourth Proportional to 2,737.86, 4,106.97 and 983.22

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Solution

The fourth proportional to 2,737.86, 4,106.97 and 983.22 is: 1,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.86 : 4,106.97 = 983.22 : x
  2. Step 2: Convert to fraction form
    2,737.86/4,106.97 = 983.22/x
  3. Step 3: Cross multiply
    2,737.86x = 4,106.97 × 983.22
  4. Step 4: Simplify right side
    2,737.86x = 4,038,055.04
  5. Step 5: Solve for x
    x = 4,038,055.04/2,737.86
  6. Step 6: Final answer
    x = 1,474.89

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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.