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Finding the Fourth Proportional to 1,401.40, 2,101.89 and 476.95

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Solution

The fourth proportional to 1,401.40, 2,101.89 and 476.95 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.40 : 2,101.89 = 476.95 : x
  2. Step 2: Convert to fraction form
    1,401.40/2,101.89 = 476.95/x
  3. Step 3: Cross multiply
    1,401.40x = 2,101.89 × 476.95
  4. Step 4: Simplify right side
    1,401.40x = 1,002,496.44
  5. Step 5: Solve for x
    x = 1,002,496.44/1,401.40
  6. Step 6: Final answer
    x = 715.35

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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.