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Finding the Fourth Proportional to 1,857.66, 2,562.66 and 1,267.26

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Solution

The fourth proportional to 1,857.66, 2,562.66 and 1,267.26 is: 1,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.66 : 2,562.66 = 1,267.26 : x
  2. Step 2: Convert to fraction form
    1,857.66/2,562.66 = 1,267.26/x
  3. Step 3: Cross multiply
    1,857.66x = 2,562.66 × 1,267.26
  4. Step 4: Simplify right side
    1,857.66x = 3,247,556.51
  5. Step 5: Solve for x
    x = 3,247,556.51/1,857.66
  6. Step 6: Final answer
    x = 1,748.20

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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.