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Finding the Fourth Proportional to 3,064.58, 4,597.12 and 984.86

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Solution

The fourth proportional to 3,064.58, 4,597.12 and 984.86 is: 1,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.58 : 4,597.12 = 984.86 : x
  2. Step 2: Convert to fraction form
    3,064.58/4,597.12 = 984.86/x
  3. Step 3: Cross multiply
    3,064.58x = 4,597.12 × 984.86
  4. Step 4: Simplify right side
    3,064.58x = 4,527,519.60
  5. Step 5: Solve for x
    x = 4,527,519.60/3,064.58
  6. Step 6: Final answer
    x = 1,477.37

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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.