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Finding the Fourth Proportional to 1,627.87, 2,246.70 and 920.01

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Solution

The fourth proportional to 1,627.87, 2,246.70 and 920.01 is: 1,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.87 : 2,246.70 = 920.01 : x
  2. Step 2: Convert to fraction form
    1,627.87/2,246.70 = 920.01/x
  3. Step 3: Cross multiply
    1,627.87x = 2,246.70 × 920.01
  4. Step 4: Simplify right side
    1,627.87x = 2,066,986.47
  5. Step 5: Solve for x
    x = 2,066,986.47/1,627.87
  6. Step 6: Final answer
    x = 1,269.75

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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.