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Finding the Fourth Proportional to 2,333.71, 3,502.54 and 1,102.01

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Solution

The fourth proportional to 2,333.71, 3,502.54 and 1,102.01 is: 1,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.71 : 3,502.54 = 1,102.01 : x
  2. Step 2: Convert to fraction form
    2,333.71/3,502.54 = 1,102.01/x
  3. Step 3: Cross multiply
    2,333.71x = 3,502.54 × 1,102.01
  4. Step 4: Simplify right side
    2,333.71x = 3,859,817.97
  5. Step 5: Solve for x
    x = 3,859,817.97/2,333.71
  6. Step 6: Final answer
    x = 1,653.94

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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.