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Finding the Fourth Proportional to 2,047.16, 3,069.60 and 1,398.68

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Solution

The fourth proportional to 2,047.16, 3,069.60 and 1,398.68 is: 2,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.16 : 3,069.60 = 1,398.68 : x
  2. Step 2: Convert to fraction form
    2,047.16/3,069.60 = 1,398.68/x
  3. Step 3: Cross multiply
    2,047.16x = 3,069.60 × 1,398.68
  4. Step 4: Simplify right side
    2,047.16x = 4,293,388.13
  5. Step 5: Solve for x
    x = 4,293,388.13/2,047.16
  6. Step 6: Final answer
    x = 2,097.24

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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.