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Finding the Fourth Proportional to 2,129.59, 2,930.77 and 1,755.11

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Solution

The fourth proportional to 2,129.59, 2,930.77 and 1,755.11 is: 2,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.59 : 2,930.77 = 1,755.11 : x
  2. Step 2: Convert to fraction form
    2,129.59/2,930.77 = 1,755.11/x
  3. Step 3: Cross multiply
    2,129.59x = 2,930.77 × 1,755.11
  4. Step 4: Simplify right side
    2,129.59x = 5,143,814.96
  5. Step 5: Solve for x
    x = 5,143,814.96/2,129.59
  6. Step 6: Final answer
    x = 2,415.40

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1.5x scale

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.