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Finding the Fourth Proportional to 1,401.74, 1,933.52 and 841.84

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Solution

The fourth proportional to 1,401.74, 1,933.52 and 841.84 is: 1,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.74 : 1,933.52 = 841.84 : x
  2. Step 2: Convert to fraction form
    1,401.74/1,933.52 = 841.84/x
  3. Step 3: Cross multiply
    1,401.74x = 1,933.52 × 841.84
  4. Step 4: Simplify right side
    1,401.74x = 1,627,714.48
  5. Step 5: Solve for x
    x = 1,627,714.48/1,401.74
  6. Step 6: Final answer
    x = 1,161.21

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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.