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Finding the Fourth Proportional to 4,510.32, 6,765.75 and 1,223.69

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Solution

The fourth proportional to 4,510.32, 6,765.75 and 1,223.69 is: 1,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.32 : 6,765.75 = 1,223.69 : x
  2. Step 2: Convert to fraction form
    4,510.32/6,765.75 = 1,223.69/x
  3. Step 3: Cross multiply
    4,510.32x = 6,765.75 × 1,223.69
  4. Step 4: Simplify right side
    4,510.32x = 8,279,146.79
  5. Step 5: Solve for x
    x = 8,279,146.79/4,510.32
  6. Step 6: Final answer
    x = 1,835.60

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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.