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Finding the Fourth Proportional to 2,066.40, 2,844.24 and 1,568.16

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Solution

The fourth proportional to 2,066.40, 2,844.24 and 1,568.16 is: 2,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 2,844.24 = 1,568.16 : x
  2. Step 2: Convert to fraction form
    2,066.40/2,844.24 = 1,568.16/x
  3. Step 3: Cross multiply
    2,066.40x = 2,844.24 × 1,568.16
  4. Step 4: Simplify right side
    2,066.40x = 4,460,223.40
  5. Step 5: Solve for x
    x = 4,460,223.40/2,066.40
  6. Step 6: Final answer
    x = 2,158.45

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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.