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Finding the Fourth Proportional to 2,333.26, 3,502.10 and 1,715.09

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Solution

The fourth proportional to 2,333.26, 3,502.10 and 1,715.09 is: 2,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.26 : 3,502.10 = 1,715.09 : x
  2. Step 2: Convert to fraction form
    2,333.26/3,502.10 = 1,715.09/x
  3. Step 3: Cross multiply
    2,333.26x = 3,502.10 × 1,715.09
  4. Step 4: Simplify right side
    2,333.26x = 6,006,412.01
  5. Step 5: Solve for x
    x = 6,006,412.01/2,333.26
  6. Step 6: Final answer
    x = 2,574.26

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