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Finding the Fourth Proportional to 4,507.70, 6,761.58 and 1,220.82

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Solution

The fourth proportional to 4,507.70, 6,761.58 and 1,220.82 is: 1,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.70 : 6,761.58 = 1,220.82 : x
  2. Step 2: Convert to fraction form
    4,507.70/6,761.58 = 1,220.82/x
  3. Step 3: Cross multiply
    4,507.70x = 6,761.58 × 1,220.82
  4. Step 4: Simplify right side
    4,507.70x = 8,254,672.10
  5. Step 5: Solve for x
    x = 8,254,672.10/4,507.70
  6. Step 6: Final answer
    x = 1,831.24

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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.