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Finding the Fourth Proportional to 2,698.42, 4,041.96 and 2,047.18

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Solution

The fourth proportional to 2,698.42, 4,041.96 and 2,047.18 is: 3,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.42 : 4,041.96 = 2,047.18 : x
  2. Step 2: Convert to fraction form
    2,698.42/4,041.96 = 2,047.18/x
  3. Step 3: Cross multiply
    2,698.42x = 4,041.96 × 2,047.18
  4. Step 4: Simplify right side
    2,698.42x = 8,274,619.67
  5. Step 5: Solve for x
    x = 8,274,619.67/2,698.42
  6. Step 6: Final answer
    x = 3,066.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.