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Finding the Fourth Proportional to 1,857.79, 2,564.42 and 1,267.91

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Solution

The fourth proportional to 1,857.79, 2,564.42 and 1,267.91 is: 1,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.79 : 2,564.42 = 1,267.91 : x
  2. Step 2: Convert to fraction form
    1,857.79/2,564.42 = 1,267.91/x
  3. Step 3: Cross multiply
    1,857.79x = 2,564.42 × 1,267.91
  4. Step 4: Simplify right side
    1,857.79x = 3,251,434.60
  5. Step 5: Solve for x
    x = 3,251,434.60/1,857.79
  6. Step 6: Final answer
    x = 1,750.16

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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.