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Finding the Fourth Proportional to 2,984.27, 4,117.84 and 1,725.08

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Solution

The fourth proportional to 2,984.27, 4,117.84 and 1,725.08 is: 2,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.27 : 4,117.84 = 1,725.08 : x
  2. Step 2: Convert to fraction form
    2,984.27/4,117.84 = 1,725.08/x
  3. Step 3: Cross multiply
    2,984.27x = 4,117.84 × 1,725.08
  4. Step 4: Simplify right side
    2,984.27x = 7,103,619.06
  5. Step 5: Solve for x
    x = 7,103,619.06/2,984.27
  6. Step 6: Final answer
    x = 2,380.35

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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.