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Finding the Fourth Proportional to 1,650.16, 2,277.18 and 904.12

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Solution

The fourth proportional to 1,650.16, 2,277.18 and 904.12 is: 1,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.16 : 2,277.18 = 904.12 : x
  2. Step 2: Convert to fraction form
    1,650.16/2,277.18 = 904.12/x
  3. Step 3: Cross multiply
    1,650.16x = 2,277.18 × 904.12
  4. Step 4: Simplify right side
    1,650.16x = 2,058,843.98
  5. Step 5: Solve for x
    x = 2,058,843.98/1,650.16
  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.