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Finding the Fourth Proportional to 2,444.19, 3,666.89 and 712.82

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Solution

The fourth proportional to 2,444.19, 3,666.89 and 712.82 is: 1,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.19 : 3,666.89 = 712.82 : x
  2. Step 2: Convert to fraction form
    2,444.19/3,666.89 = 712.82/x
  3. Step 3: Cross multiply
    2,444.19x = 3,666.89 × 712.82
  4. Step 4: Simplify right side
    2,444.19x = 2,613,832.53
  5. Step 5: Solve for x
    x = 2,613,832.53/2,444.19
  6. Step 6: Final answer
    x = 1,069.41

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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.