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Finding the Fourth Proportional to 2,335.91, 3,502.15 and 1,102.64

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Solution

The fourth proportional to 2,335.91, 3,502.15 and 1,102.64 is: 1,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.91 : 3,502.15 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    2,335.91/3,502.15 = 1,102.64/x
  3. Step 3: Cross multiply
    2,335.91x = 3,502.15 × 1,102.64
  4. Step 4: Simplify right side
    2,335.91x = 3,861,590.41
  5. Step 5: Solve for x
    x = 3,861,590.41/2,335.91
  6. Step 6: Final answer
    x = 1,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.