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Finding the Fourth Proportional to 1,499.31, 2,068.74 and 1,101.60

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Solution

The fourth proportional to 1,499.31, 2,068.74 and 1,101.60 is: 1,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.31 : 2,068.74 = 1,101.60 : x
  2. Step 2: Convert to fraction form
    1,499.31/2,068.74 = 1,101.60/x
  3. Step 3: Cross multiply
    1,499.31x = 2,068.74 × 1,101.60
  4. Step 4: Simplify right side
    1,499.31x = 2,278,923.98
  5. Step 5: Solve for x
    x = 2,278,923.98/1,499.31
  6. Step 6: Final answer
    x = 1,519.98

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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.