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Finding the Fourth Proportional to 2,342.15, 3,513.57 and 841.06

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Solution

The fourth proportional to 2,342.15, 3,513.57 and 841.06 is: 1,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.15 : 3,513.57 = 841.06 : x
  2. Step 2: Convert to fraction form
    2,342.15/3,513.57 = 841.06/x
  3. Step 3: Cross multiply
    2,342.15x = 3,513.57 × 841.06
  4. Step 4: Simplify right side
    2,342.15x = 2,955,123.18
  5. Step 5: Solve for x
    x = 2,955,123.18/2,342.15
  6. Step 6: Final answer
    x = 1,261.71

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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.