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Finding the Fourth Proportional to 1,646.07, 2,470.11 and 866.63

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Solution

The fourth proportional to 1,646.07, 2,470.11 and 866.63 is: 1,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.07 : 2,470.11 = 866.63 : x
  2. Step 2: Convert to fraction form
    1,646.07/2,470.11 = 866.63/x
  3. Step 3: Cross multiply
    1,646.07x = 2,470.11 × 866.63
  4. Step 4: Simplify right side
    1,646.07x = 2,140,671.43
  5. Step 5: Solve for x
    x = 2,140,671.43/1,646.07
  6. Step 6: Final answer
    x = 1,300.47

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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.