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Finding the Fourth Proportional to 2,009.66, 2,774.65 and 1,225.04

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Solution

The fourth proportional to 2,009.66, 2,774.65 and 1,225.04 is: 1,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.66 : 2,774.65 = 1,225.04 : x
  2. Step 2: Convert to fraction form
    2,009.66/2,774.65 = 1,225.04/x
  3. Step 3: Cross multiply
    2,009.66x = 2,774.65 × 1,225.04
  4. Step 4: Simplify right side
    2,009.66x = 3,399,061.11
  5. Step 5: Solve for x
    x = 3,399,061.11/2,009.66
  6. Step 6: Final answer
    x = 1,691.36

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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.