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Finding the Fourth Proportional to 1,563.14, 2,158 and 1,066.52

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Solution

The fourth proportional to 1,563.14, 2,158 and 1,066.52 is: 1,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.14 : 2,158 = 1,066.52 : x
  2. Step 2: Convert to fraction form
    1,563.14/2,158 = 1,066.52/x
  3. Step 3: Cross multiply
    1,563.14x = 2,158 × 1,066.52
  4. Step 4: Simplify right side
    1,563.14x = 2,301,550.16
  5. Step 5: Solve for x
    x = 2,301,550.16/1,563.14
  6. Step 6: Final answer
    x = 1,472.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.