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Finding the Fourth Proportional to 1,532.87, 2,297.69 and 643.90

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Solution

The fourth proportional to 1,532.87, 2,297.69 and 643.90 is: 965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.87 : 2,297.69 = 643.90 : x
  2. Step 2: Convert to fraction form
    1,532.87/2,297.69 = 643.90/x
  3. Step 3: Cross multiply
    1,532.87x = 2,297.69 × 643.90
  4. Step 4: Simplify right side
    1,532.87x = 1,479,473.63
  5. Step 5: Solve for x
    x = 1,479,473.63/1,532.87
  6. Step 6: Final answer
    x = 965.17

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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.