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Finding the Fourth Proportional to 2,064.89, 2,849.28 and 1,225.46

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Solution

The fourth proportional to 2,064.89, 2,849.28 and 1,225.46 is: 1,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.89 : 2,849.28 = 1,225.46 : x
  2. Step 2: Convert to fraction form
    2,064.89/2,849.28 = 1,225.46/x
  3. Step 3: Cross multiply
    2,064.89x = 2,849.28 × 1,225.46
  4. Step 4: Simplify right side
    2,064.89x = 3,491,678.67
  5. Step 5: Solve for x
    x = 3,491,678.67/2,064.89
  6. Step 6: Final answer
    x = 1,690.98

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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.