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Finding the Fourth Proportional to 1,650.72, 2,278.02 and 904.67

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Solution

The fourth proportional to 1,650.72, 2,278.02 and 904.67 is: 1,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.72 : 2,278.02 = 904.67 : x
  2. Step 2: Convert to fraction form
    1,650.72/2,278.02 = 904.67/x
  3. Step 3: Cross multiply
    1,650.72x = 2,278.02 × 904.67
  4. Step 4: Simplify right side
    1,650.72x = 2,060,856.35
  5. Step 5: Solve for x
    x = 2,060,856.35/1,650.72
  6. Step 6: Final answer
    x = 1,248.46

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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.