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Finding the Fourth Proportional to 3,065.32, 4,596.66 and 984.64

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Solution

The fourth proportional to 3,065.32, 4,596.66 and 984.64 is: 1,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.32 : 4,596.66 = 984.64 : x
  2. Step 2: Convert to fraction form
    3,065.32/4,596.66 = 984.64/x
  3. Step 3: Cross multiply
    3,065.32x = 4,596.66 × 984.64
  4. Step 4: Simplify right side
    3,065.32x = 4,526,055.30
  5. Step 5: Solve for x
    x = 4,526,055.30/3,065.32
  6. Step 6: Final answer
    x = 1,476.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.