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Finding the Fourth Proportional to 1,287.76, 1,921.50 and 1,209.38

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Solution

The fourth proportional to 1,287.76, 1,921.50 and 1,209.38 is: 1,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.76 : 1,921.50 = 1,209.38 : x
  2. Step 2: Convert to fraction form
    1,287.76/1,921.50 = 1,209.38/x
  3. Step 3: Cross multiply
    1,287.76x = 1,921.50 × 1,209.38
  4. Step 4: Simplify right side
    1,287.76x = 2,323,823.67
  5. Step 5: Solve for x
    x = 2,323,823.67/1,287.76
  6. Step 6: Final answer
    x = 1,804.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.