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Finding the Fourth Proportional to 2,984.84, 4,117.37 and 1,864.40

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Solution

The fourth proportional to 2,984.84, 4,117.37 and 1,864.40 is: 2,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.84 : 4,117.37 = 1,864.40 : x
  2. Step 2: Convert to fraction form
    2,984.84/4,117.37 = 1,864.40/x
  3. Step 3: Cross multiply
    2,984.84x = 4,117.37 × 1,864.40
  4. Step 4: Simplify right side
    2,984.84x = 7,676,439.58
  5. Step 5: Solve for x
    x = 7,676,439.58/2,984.84
  6. Step 6: Final answer
    x = 2,571.81

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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.