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Finding the Fourth Proportional to 1,401.17, 1,933.12 and 841.20

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Solution

The fourth proportional to 1,401.17, 1,933.12 and 841.20 is: 1,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.17 : 1,933.12 = 841.20 : x
  2. Step 2: Convert to fraction form
    1,401.17/1,933.12 = 841.20/x
  3. Step 3: Cross multiply
    1,401.17x = 1,933.12 × 841.20
  4. Step 4: Simplify right side
    1,401.17x = 1,626,140.49
  5. Step 5: Solve for x
    x = 1,626,140.49/1,401.17
  6. Step 6: Final answer
    x = 1,160.56

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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.