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Finding the Fourth Proportional to 2,058.57, 3,088.17 and 759.94

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Solution

The fourth proportional to 2,058.57, 3,088.17 and 759.94 is: 1,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.57 : 3,088.17 = 759.94 : x
  2. Step 2: Convert to fraction form
    2,058.57/3,088.17 = 759.94/x
  3. Step 3: Cross multiply
    2,058.57x = 3,088.17 × 759.94
  4. Step 4: Simplify right side
    2,058.57x = 2,346,816.19
  5. Step 5: Solve for x
    x = 2,346,816.19/2,058.57
  6. Step 6: Final answer
    x = 1,140.02

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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.