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Finding the Fourth Proportional to 2,064.07, 2,848.30 and 1,224.86

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Solution

The fourth proportional to 2,064.07, 2,848.30 and 1,224.86 is: 1,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.07 : 2,848.30 = 1,224.86 : x
  2. Step 2: Convert to fraction form
    2,064.07/2,848.30 = 1,224.86/x
  3. Step 3: Cross multiply
    2,064.07x = 2,848.30 × 1,224.86
  4. Step 4: Simplify right side
    2,064.07x = 3,488,768.74
  5. Step 5: Solve for x
    x = 3,488,768.74/2,064.07
  6. Step 6: Final answer
    x = 1,690.24

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Why These Related Problems?

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