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Finding the Fourth Proportional to 2,133.02, 3,200.76 and 900.35

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Solution

The fourth proportional to 2,133.02, 3,200.76 and 900.35 is: 1,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.02 : 3,200.76 = 900.35 : x
  2. Step 2: Convert to fraction form
    2,133.02/3,200.76 = 900.35/x
  3. Step 3: Cross multiply
    2,133.02x = 3,200.76 × 900.35
  4. Step 4: Simplify right side
    2,133.02x = 2,881,804.27
  5. Step 5: Solve for x
    x = 2,881,804.27/2,133.02
  6. Step 6: Final answer
    x = 1,351.04

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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.