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Finding the Fourth Proportional to 1,522.82, 2,101.53 and 933.68

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Solution

The fourth proportional to 1,522.82, 2,101.53 and 933.68 is: 1,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.82 : 2,101.53 = 933.68 : x
  2. Step 2: Convert to fraction form
    1,522.82/2,101.53 = 933.68/x
  3. Step 3: Cross multiply
    1,522.82x = 2,101.53 × 933.68
  4. Step 4: Simplify right side
    1,522.82x = 1,962,156.53
  5. Step 5: Solve for x
    x = 1,962,156.53/1,522.82
  6. Step 6: Final answer
    x = 1,288.50

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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.