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Finding the Fourth Proportional to 1,857.48, 2,564.32 and 1,267

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Solution

The fourth proportional to 1,857.48, 2,564.32 and 1,267 is: 1,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.48 : 2,564.32 = 1,267 : x
  2. Step 2: Convert to fraction form
    1,857.48/2,564.32 = 1,267/x
  3. Step 3: Cross multiply
    1,857.48x = 2,564.32 × 1,267
  4. Step 4: Simplify right side
    1,857.48x = 3,248,993.44
  5. Step 5: Solve for x
    x = 3,248,993.44/1,857.48
  6. Step 6: Final answer
    x = 1,749.14

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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.