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Finding the Fourth Proportional to 1,459.87, 2,015.07 and 935.89

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Solution

The fourth proportional to 1,459.87, 2,015.07 and 935.89 is: 1,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.87 : 2,015.07 = 935.89 : x
  2. Step 2: Convert to fraction form
    1,459.87/2,015.07 = 935.89/x
  3. Step 3: Cross multiply
    1,459.87x = 2,015.07 × 935.89
  4. Step 4: Simplify right side
    1,459.87x = 1,885,883.86
  5. Step 5: Solve for x
    x = 1,885,883.86/1,459.87
  6. Step 6: Final answer
    x = 1,291.82

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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.