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Finding the Fourth Proportional to 2,064.03, 2,848.17 and 1,224.59

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Solution

The fourth proportional to 2,064.03, 2,848.17 and 1,224.59 is: 1,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.03 : 2,848.17 = 1,224.59 : x
  2. Step 2: Convert to fraction form
    2,064.03/2,848.17 = 1,224.59/x
  3. Step 3: Cross multiply
    2,064.03x = 2,848.17 × 1,224.59
  4. Step 4: Simplify right side
    2,064.03x = 3,487,823.96
  5. Step 5: Solve for x
    x = 3,487,823.96/2,064.03
  6. Step 6: Final answer
    x = 1,689.82

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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.