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Finding the Fourth Proportional to 2,441.78, 3,663.43 and 710.41

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Solution

The fourth proportional to 2,441.78, 3,663.43 and 710.41 is: 1,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.78 : 3,663.43 = 710.41 : x
  2. Step 2: Convert to fraction form
    2,441.78/3,663.43 = 710.41/x
  3. Step 3: Cross multiply
    2,441.78x = 3,663.43 × 710.41
  4. Step 4: Simplify right side
    2,441.78x = 2,602,537.31
  5. Step 5: Solve for x
    x = 2,602,537.31/2,441.78
  6. Step 6: Final answer
    x = 1,065.84

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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.