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Finding the Fourth Proportional to 2,950.46, 4,426.33 and 975.99

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Solution

The fourth proportional to 2,950.46, 4,426.33 and 975.99 is: 1,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.46 : 4,426.33 = 975.99 : x
  2. Step 2: Convert to fraction form
    2,950.46/4,426.33 = 975.99/x
  3. Step 3: Cross multiply
    2,950.46x = 4,426.33 × 975.99
  4. Step 4: Simplify right side
    2,950.46x = 4,320,053.82
  5. Step 5: Solve for x
    x = 4,320,053.82/2,950.46
  6. Step 6: Final answer
    x = 1,464.20

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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.