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Finding the Fourth Proportional to 1,669, 2,502.80 and 573.46

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Solution

The fourth proportional to 1,669, 2,502.80 and 573.46 is: 859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669 : 2,502.80 = 573.46 : x
  2. Step 2: Convert to fraction form
    1,669/2,502.80 = 573.46/x
  3. Step 3: Cross multiply
    1,669x = 2,502.80 × 573.46
  4. Step 4: Simplify right side
    1,669x = 1,435,255.69
  5. Step 5: Solve for x
    x = 1,435,255.69/1,669
  6. Step 6: Final answer
    x = 859.95

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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.