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Finding the Fourth Proportional to 2,088.93, 3,128.43 and 1,209.58

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Solution

The fourth proportional to 2,088.93, 3,128.43 and 1,209.58 is: 1,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.93 : 3,128.43 = 1,209.58 : x
  2. Step 2: Convert to fraction form
    2,088.93/3,128.43 = 1,209.58/x
  3. Step 3: Cross multiply
    2,088.93x = 3,128.43 × 1,209.58
  4. Step 4: Simplify right side
    2,088.93x = 3,784,085.73
  5. Step 5: Solve for x
    x = 3,784,085.73/2,088.93
  6. Step 6: Final answer
    x = 1,811.49

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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.