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Finding the Fourth Proportional to 1,862.40, 2,792.28 and 767.28

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Solution

The fourth proportional to 1,862.40, 2,792.28 and 767.28 is: 1,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.40 : 2,792.28 = 767.28 : x
  2. Step 2: Convert to fraction form
    1,862.40/2,792.28 = 767.28/x
  3. Step 3: Cross multiply
    1,862.40x = 2,792.28 × 767.28
  4. Step 4: Simplify right side
    1,862.40x = 2,142,460.60
  5. Step 5: Solve for x
    x = 2,142,460.60/1,862.40
  6. Step 6: Final answer
    x = 1,150.38

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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.