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Finding the Fourth Proportional to 2,913.16, 4,019.82 and 1,654.21

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Solution

The fourth proportional to 2,913.16, 4,019.82 and 1,654.21 is: 2,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.16 : 4,019.82 = 1,654.21 : x
  2. Step 2: Convert to fraction form
    2,913.16/4,019.82 = 1,654.21/x
  3. Step 3: Cross multiply
    2,913.16x = 4,019.82 × 1,654.21
  4. Step 4: Simplify right side
    2,913.16x = 6,649,598.07
  5. Step 5: Solve for x
    x = 6,649,598.07/2,913.16
  6. Step 6: Final answer
    x = 2,282.61

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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.