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Finding the Fourth Proportional to 2,133.16, 3,199.98 and 900.34

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Solution

The fourth proportional to 2,133.16, 3,199.98 and 900.34 is: 1,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.16 : 3,199.98 = 900.34 : x
  2. Step 2: Convert to fraction form
    2,133.16/3,199.98 = 900.34/x
  3. Step 3: Cross multiply
    2,133.16x = 3,199.98 × 900.34
  4. Step 4: Simplify right side
    2,133.16x = 2,881,069.99
  5. Step 5: Solve for x
    x = 2,881,069.99/2,133.16
  6. Step 6: Final answer
    x = 1,350.61

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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.