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Finding the Fourth Proportional to 1,437.06, 2,154.32 and 850.62

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Solution

The fourth proportional to 1,437.06, 2,154.32 and 850.62 is: 1,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.06 : 2,154.32 = 850.62 : x
  2. Step 2: Convert to fraction form
    1,437.06/2,154.32 = 850.62/x
  3. Step 3: Cross multiply
    1,437.06x = 2,154.32 × 850.62
  4. Step 4: Simplify right side
    1,437.06x = 1,832,503.43
  5. Step 5: Solve for x
    x = 1,832,503.43/1,437.06
  6. Step 6: Final answer
    x = 1,275.18

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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.