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Finding the Fourth Proportional to 3,064.96, 4,597.44 and 756.46

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Solution

The fourth proportional to 3,064.96, 4,597.44 and 756.46 is: 1,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.96 : 4,597.44 = 756.46 : x
  2. Step 2: Convert to fraction form
    3,064.96/4,597.44 = 756.46/x
  3. Step 3: Cross multiply
    3,064.96x = 4,597.44 × 756.46
  4. Step 4: Simplify right side
    3,064.96x = 3,477,779.46
  5. Step 5: Solve for x
    x = 3,477,779.46/3,064.96
  6. Step 6: Final answer
    x = 1,134.69

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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.