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Finding the Fourth Proportional to 4,604.24, 6,907.04 and 1,642.46

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Solution

The fourth proportional to 4,604.24, 6,907.04 and 1,642.46 is: 2,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.24 : 6,907.04 = 1,642.46 : x
  2. Step 2: Convert to fraction form
    4,604.24/6,907.04 = 1,642.46/x
  3. Step 3: Cross multiply
    4,604.24x = 6,907.04 × 1,642.46
  4. Step 4: Simplify right side
    4,604.24x = 11,344,494.17
  5. Step 5: Solve for x
    x = 11,344,494.17/4,604.24
  6. Step 6: Final answer
    x = 2,463.93

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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.