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Finding the Fourth Proportional to 2,857.48, 4,284.50 and 1,008.25

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Solution

The fourth proportional to 2,857.48, 4,284.50 and 1,008.25 is: 1,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.48 : 4,284.50 = 1,008.25 : x
  2. Step 2: Convert to fraction form
    2,857.48/4,284.50 = 1,008.25/x
  3. Step 3: Cross multiply
    2,857.48x = 4,284.50 × 1,008.25
  4. Step 4: Simplify right side
    2,857.48x = 4,319,831.37
  5. Step 5: Solve for x
    x = 4,319,831.37/2,857.48
  6. Step 6: Final answer
    x = 1,511.76

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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.