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Finding the Fourth Proportional to 1,599.21, 2,206.89 and 900.59

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Solution

The fourth proportional to 1,599.21, 2,206.89 and 900.59 is: 1,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.21 : 2,206.89 = 900.59 : x
  2. Step 2: Convert to fraction form
    1,599.21/2,206.89 = 900.59/x
  3. Step 3: Cross multiply
    1,599.21x = 2,206.89 × 900.59
  4. Step 4: Simplify right side
    1,599.21x = 1,987,492.03
  5. Step 5: Solve for x
    x = 1,987,492.03/1,599.21
  6. Step 6: Final answer
    x = 1,242.80

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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.