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Finding the Fourth Proportional to 2,984, 4,117.92 and 2,054.12

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Solution

The fourth proportional to 2,984, 4,117.92 and 2,054.12 is: 2,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984 : 4,117.92 = 2,054.12 : x
  2. Step 2: Convert to fraction form
    2,984/4,117.92 = 2,054.12/x
  3. Step 3: Cross multiply
    2,984x = 4,117.92 × 2,054.12
  4. Step 4: Simplify right side
    2,984x = 8,458,701.83
  5. Step 5: Solve for x
    x = 8,458,701.83/2,984
  6. Step 6: Final answer
    x = 2,834.69

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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.