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Finding the Fourth Proportional to 3,509.64, 5,266.62 and 1,950.84

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Solution

The fourth proportional to 3,509.64, 5,266.62 and 1,950.84 is: 2,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.64 : 5,266.62 = 1,950.84 : x
  2. Step 2: Convert to fraction form
    3,509.64/5,266.62 = 1,950.84/x
  3. Step 3: Cross multiply
    3,509.64x = 5,266.62 × 1,950.84
  4. Step 4: Simplify right side
    3,509.64x = 10,274,332.96
  5. Step 5: Solve for x
    x = 10,274,332.96/3,509.64
  6. Step 6: Final answer
    x = 2,927.46

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1.5x scale

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.