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Finding the Fourth Proportional to 1,646.74, 2,470.84 and 866.55

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Solution

The fourth proportional to 1,646.74, 2,470.84 and 866.55 is: 1,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.74 : 2,470.84 = 866.55 : x
  2. Step 2: Convert to fraction form
    1,646.74/2,470.84 = 866.55/x
  3. Step 3: Cross multiply
    1,646.74x = 2,470.84 × 866.55
  4. Step 4: Simplify right side
    1,646.74x = 2,141,104.24
  5. Step 5: Solve for x
    x = 2,141,104.24/1,646.74
  6. Step 6: Final answer
    x = 1,300.21

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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.