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Finding the Fourth Proportional to 1,599.40, 2,401.53 and 1,381.78

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Solution

The fourth proportional to 1,599.40, 2,401.53 and 1,381.78 is: 2,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.40 : 2,401.53 = 1,381.78 : x
  2. Step 2: Convert to fraction form
    1,599.40/2,401.53 = 1,381.78/x
  3. Step 3: Cross multiply
    1,599.40x = 2,401.53 × 1,381.78
  4. Step 4: Simplify right side
    1,599.40x = 3,318,386.12
  5. Step 5: Solve for x
    x = 3,318,386.12/1,599.40
  6. Step 6: Final answer
    x = 2,074.77

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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.