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Finding the Fourth Proportional to 2,999.94, 4,140.46 and 1,881.84

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Solution

The fourth proportional to 2,999.94, 4,140.46 and 1,881.84 is: 2,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.94 : 4,140.46 = 1,881.84 : x
  2. Step 2: Convert to fraction form
    2,999.94/4,140.46 = 1,881.84/x
  3. Step 3: Cross multiply
    2,999.94x = 4,140.46 × 1,881.84
  4. Step 4: Simplify right side
    2,999.94x = 7,791,683.25
  5. Step 5: Solve for x
    x = 7,791,683.25/2,999.94
  6. Step 6: Final answer
    x = 2,597.28

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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.