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Finding the Fourth Proportional to 2,064.54, 2,849.48 and 1,225.70

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Solution

The fourth proportional to 2,064.54, 2,849.48 and 1,225.70 is: 1,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.54 : 2,849.48 = 1,225.70 : x
  2. Step 2: Convert to fraction form
    2,064.54/2,849.48 = 1,225.70/x
  3. Step 3: Cross multiply
    2,064.54x = 2,849.48 × 1,225.70
  4. Step 4: Simplify right side
    2,064.54x = 3,492,607.64
  5. Step 5: Solve for x
    x = 3,492,607.64/2,064.54
  6. Step 6: Final answer
    x = 1,691.71

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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.