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Finding the Fourth Proportional to 1,673.76, 2,509.20 and 808.68

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Solution

The fourth proportional to 1,673.76, 2,509.20 and 808.68 is: 1,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.76 : 2,509.20 = 808.68 : x
  2. Step 2: Convert to fraction form
    1,673.76/2,509.20 = 808.68/x
  3. Step 3: Cross multiply
    1,673.76x = 2,509.20 × 808.68
  4. Step 4: Simplify right side
    1,673.76x = 2,029,139.86
  5. Step 5: Solve for x
    x = 2,029,139.86/1,673.76
  6. Step 6: Final answer
    x = 1,212.32

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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.