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Finding the Fourth Proportional to 1,422.40, 1,962.21 and 1,225.57

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Solution

The fourth proportional to 1,422.40, 1,962.21 and 1,225.57 is: 1,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.40 : 1,962.21 = 1,225.57 : x
  2. Step 2: Convert to fraction form
    1,422.40/1,962.21 = 1,225.57/x
  3. Step 3: Cross multiply
    1,422.40x = 1,962.21 × 1,225.57
  4. Step 4: Simplify right side
    1,422.40x = 2,404,825.71
  5. Step 5: Solve for x
    x = 2,404,825.71/1,422.40
  6. Step 6: Final answer
    x = 1,690.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.