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Finding the Fourth Proportional to 2,145.72, 3,219.18 and 606.76

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Solution

The fourth proportional to 2,145.72, 3,219.18 and 606.76 is: 910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.72 : 3,219.18 = 606.76 : x
  2. Step 2: Convert to fraction form
    2,145.72/3,219.18 = 606.76/x
  3. Step 3: Cross multiply
    2,145.72x = 3,219.18 × 606.76
  4. Step 4: Simplify right side
    2,145.72x = 1,953,269.66
  5. Step 5: Solve for x
    x = 1,953,269.66/2,145.72
  6. Step 6: Final answer
    x = 910.31

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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.