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Finding the Fourth Proportional to 2,984.65, 4,118.93 and 2,042.41

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Solution

The fourth proportional to 2,984.65, 4,118.93 and 2,042.41 is: 2,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.65 : 4,118.93 = 2,042.41 : x
  2. Step 2: Convert to fraction form
    2,984.65/4,118.93 = 2,042.41/x
  3. Step 3: Cross multiply
    2,984.65x = 4,118.93 × 2,042.41
  4. Step 4: Simplify right side
    2,984.65x = 8,412,543.82
  5. Step 5: Solve for x
    x = 8,412,543.82/2,984.65
  6. Step 6: Final answer
    x = 2,818.60

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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.