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Finding the Fourth Proportional to 1,666.22, 2,495.76 and 1,143.78

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Solution

The fourth proportional to 1,666.22, 2,495.76 and 1,143.78 is: 1,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.22 : 2,495.76 = 1,143.78 : x
  2. Step 2: Convert to fraction form
    1,666.22/2,495.76 = 1,143.78/x
  3. Step 3: Cross multiply
    1,666.22x = 2,495.76 × 1,143.78
  4. Step 4: Simplify right side
    1,666.22x = 2,854,600.37
  5. Step 5: Solve for x
    x = 2,854,600.37/1,666.22
  6. Step 6: Final answer
    x = 1,713.22

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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.