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Finding the Fourth Proportional to 1,650.17, 2,277.20 and 904.12

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Solution

The fourth proportional to 1,650.17, 2,277.20 and 904.12 is: 1,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.17 : 2,277.20 = 904.12 : x
  2. Step 2: Convert to fraction form
    1,650.17/2,277.20 = 904.12/x
  3. Step 3: Cross multiply
    1,650.17x = 2,277.20 × 904.12
  4. Step 4: Simplify right side
    1,650.17x = 2,058,858.63
  5. Step 5: Solve for x
    x = 2,058,858.63/1,650.17
  6. Step 6: Final answer
    x = 1,247.66

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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.