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Finding the Fourth Proportional to 2,984.72, 4,117.48 and 2,320.40

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Solution

The fourth proportional to 2,984.72, 4,117.48 and 2,320.40 is: 3,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.72 : 4,117.48 = 2,320.40 : x
  2. Step 2: Convert to fraction form
    2,984.72/4,117.48 = 2,320.40/x
  3. Step 3: Cross multiply
    2,984.72x = 4,117.48 × 2,320.40
  4. Step 4: Simplify right side
    2,984.72x = 9,554,200.59
  5. Step 5: Solve for x
    x = 9,554,200.59/2,984.72
  6. Step 6: Final answer
    x = 3,201.04

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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.