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Finding the Fourth Proportional to 2,005.62, 2,767.98 and 1,121.64

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Solution

The fourth proportional to 2,005.62, 2,767.98 and 1,121.64 is: 1,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.62 : 2,767.98 = 1,121.64 : x
  2. Step 2: Convert to fraction form
    2,005.62/2,767.98 = 1,121.64/x
  3. Step 3: Cross multiply
    2,005.62x = 2,767.98 × 1,121.64
  4. Step 4: Simplify right side
    2,005.62x = 3,104,677.09
  5. Step 5: Solve for x
    x = 3,104,677.09/2,005.62
  6. Step 6: Final answer
    x = 1,547.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.