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Finding the Fourth Proportional to 2,100.72, 3,152.28 and 946.56

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Solution

The fourth proportional to 2,100.72, 3,152.28 and 946.56 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.72 : 3,152.28 = 946.56 : x
  2. Step 2: Convert to fraction form
    2,100.72/3,152.28 = 946.56/x
  3. Step 3: Cross multiply
    2,100.72x = 3,152.28 × 946.56
  4. Step 4: Simplify right side
    2,100.72x = 2,983,822.16
  5. Step 5: Solve for x
    x = 2,983,822.16/2,100.72
  6. Step 6: Final answer
    x = 1,420.38

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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.