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Finding the Fourth Proportional to 2,059.26, 3,088.90 and 520.26

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Solution

The fourth proportional to 2,059.26, 3,088.90 and 520.26 is: 780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.26 : 3,088.90 = 520.26 : x
  2. Step 2: Convert to fraction form
    2,059.26/3,088.90 = 520.26/x
  3. Step 3: Cross multiply
    2,059.26x = 3,088.90 × 520.26
  4. Step 4: Simplify right side
    2,059.26x = 1,607,031.11
  5. Step 5: Solve for x
    x = 1,607,031.11/2,059.26
  6. Step 6: Final answer
    x = 780.39

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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.