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Finding the Fourth Proportional to 1,498.67, 2,068.41 and 1,106.82

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Solution

The fourth proportional to 1,498.67, 2,068.41 and 1,106.82 is: 1,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.67 : 2,068.41 = 1,106.82 : x
  2. Step 2: Convert to fraction form
    1,498.67/2,068.41 = 1,106.82/x
  3. Step 3: Cross multiply
    1,498.67x = 2,068.41 × 1,106.82
  4. Step 4: Simplify right side
    1,498.67x = 2,289,357.56
  5. Step 5: Solve for x
    x = 2,289,357.56/1,498.67
  6. Step 6: Final answer
    x = 1,527.60

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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.