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Finding the Fourth Proportional to 4,422.71, 6,634.80 and 1,460.32

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Solution

The fourth proportional to 4,422.71, 6,634.80 and 1,460.32 is: 2,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.71 : 6,634.80 = 1,460.32 : x
  2. Step 2: Convert to fraction form
    4,422.71/6,634.80 = 1,460.32/x
  3. Step 3: Cross multiply
    4,422.71x = 6,634.80 × 1,460.32
  4. Step 4: Simplify right side
    4,422.71x = 9,688,914.55
  5. Step 5: Solve for x
    x = 9,688,914.55/4,422.71
  6. Step 6: Final answer
    x = 2,190.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.