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Finding the Fourth Proportional to 1,859.92, 2,566.77 and 1,114

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Solution

The fourth proportional to 1,859.92, 2,566.77 and 1,114 is: 1,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.92 : 2,566.77 = 1,114 : x
  2. Step 2: Convert to fraction form
    1,859.92/2,566.77 = 1,114/x
  3. Step 3: Cross multiply
    1,859.92x = 2,566.77 × 1,114
  4. Step 4: Simplify right side
    1,859.92x = 2,859,381.78
  5. Step 5: Solve for x
    x = 2,859,381.78/1,859.92
  6. Step 6: Final answer
    x = 1,537.37

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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.