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Finding the Fourth Proportional to 1,501.26, 2,070.41 and 941.10

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Solution

The fourth proportional to 1,501.26, 2,070.41 and 941.10 is: 1,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.26 : 2,070.41 = 941.10 : x
  2. Step 2: Convert to fraction form
    1,501.26/2,070.41 = 941.10/x
  3. Step 3: Cross multiply
    1,501.26x = 2,070.41 × 941.10
  4. Step 4: Simplify right side
    1,501.26x = 1,948,462.85
  5. Step 5: Solve for x
    x = 1,948,462.85/1,501.26
  6. Step 6: Final answer
    x = 1,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.