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Finding the Fourth Proportional to 2,984.69, 4,105.18 and 2,393.93

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Solution

The fourth proportional to 2,984.69, 4,105.18 and 2,393.93 is: 3,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.69 : 4,105.18 = 2,393.93 : x
  2. Step 2: Convert to fraction form
    2,984.69/4,105.18 = 2,393.93/x
  3. Step 3: Cross multiply
    2,984.69x = 4,105.18 × 2,393.93
  4. Step 4: Simplify right side
    2,984.69x = 9,827,526.81
  5. Step 5: Solve for x
    x = 9,827,526.81/2,984.69
  6. Step 6: Final answer
    x = 3,292.64

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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.