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Finding the Fourth Proportional to 1,335.29, 1,841.94 and 941.63

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Solution

The fourth proportional to 1,335.29, 1,841.94 and 941.63 is: 1,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.29 : 1,841.94 = 941.63 : x
  2. Step 2: Convert to fraction form
    1,335.29/1,841.94 = 941.63/x
  3. Step 3: Cross multiply
    1,335.29x = 1,841.94 × 941.63
  4. Step 4: Simplify right side
    1,335.29x = 1,734,416.75
  5. Step 5: Solve for x
    x = 1,734,416.75/1,335.29
  6. Step 6: Final answer
    x = 1,298.91

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