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Finding the Fourth Proportional to 1,984.02, 2,737.47 and 1,237.71

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Solution

The fourth proportional to 1,984.02, 2,737.47 and 1,237.71 is: 1,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.02 : 2,737.47 = 1,237.71 : x
  2. Step 2: Convert to fraction form
    1,984.02/2,737.47 = 1,237.71/x
  3. Step 3: Cross multiply
    1,984.02x = 2,737.47 × 1,237.71
  4. Step 4: Simplify right side
    1,984.02x = 3,388,182.32
  5. Step 5: Solve for x
    x = 3,388,182.32/1,984.02
  6. Step 6: Final answer
    x = 1,707.74

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Why These Related Problems?

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