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Finding the Fourth Proportional to 1,873.16, 2,809.74 and 574.28

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Solution

The fourth proportional to 1,873.16, 2,809.74 and 574.28 is: 861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.16 : 2,809.74 = 574.28 : x
  2. Step 2: Convert to fraction form
    1,873.16/2,809.74 = 574.28/x
  3. Step 3: Cross multiply
    1,873.16x = 2,809.74 × 574.28
  4. Step 4: Simplify right side
    1,873.16x = 1,613,577.49
  5. Step 5: Solve for x
    x = 1,613,577.49/1,873.16
  6. Step 6: Final answer
    x = 861.42

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Why These Related Problems?

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