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Finding the Fourth Proportional to 2,704.46, 4,056.70 and 652.46

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Solution

The fourth proportional to 2,704.46, 4,056.70 and 652.46 is: 978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.46 : 4,056.70 = 652.46 : x
  2. Step 2: Convert to fraction form
    2,704.46/4,056.70 = 652.46/x
  3. Step 3: Cross multiply
    2,704.46x = 4,056.70 × 652.46
  4. Step 4: Simplify right side
    2,704.46x = 2,646,831.22
  5. Step 5: Solve for x
    x = 2,646,831.22/2,704.46
  6. Step 6: Final answer
    x = 978.69

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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.