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Finding the Fourth Proportional to 1,282.22, 1,919.64 and 972.26

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Solution

The fourth proportional to 1,282.22, 1,919.64 and 972.26 is: 1,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.22 : 1,919.64 = 972.26 : x
  2. Step 2: Convert to fraction form
    1,282.22/1,919.64 = 972.26/x
  3. Step 3: Cross multiply
    1,282.22x = 1,919.64 × 972.26
  4. Step 4: Simplify right side
    1,282.22x = 1,866,389.19
  5. Step 5: Solve for x
    x = 1,866,389.19/1,282.22
  6. Step 6: Final answer
    x = 1,455.59

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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.