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Finding the Fourth Proportional to 1,984.86, 2,738.93 and 1,188.32

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Solution

The fourth proportional to 1,984.86, 2,738.93 and 1,188.32 is: 1,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.86 : 2,738.93 = 1,188.32 : x
  2. Step 2: Convert to fraction form
    1,984.86/2,738.93 = 1,188.32/x
  3. Step 3: Cross multiply
    1,984.86x = 2,738.93 × 1,188.32
  4. Step 4: Simplify right side
    1,984.86x = 3,254,705.66
  5. Step 5: Solve for x
    x = 3,254,705.66/1,984.86
  6. Step 6: Final answer
    x = 1,639.77

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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.