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Finding the Fourth Proportional to 1,498.42, 2,068.07 and 1,106.57

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Solution

The fourth proportional to 1,498.42, 2,068.07 and 1,106.57 is: 1,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.42 : 2,068.07 = 1,106.57 : x
  2. Step 2: Convert to fraction form
    1,498.42/2,068.07 = 1,106.57/x
  3. Step 3: Cross multiply
    1,498.42x = 2,068.07 × 1,106.57
  4. Step 4: Simplify right side
    1,498.42x = 2,288,458.69
  5. Step 5: Solve for x
    x = 2,288,458.69/1,498.42
  6. Step 6: Final answer
    x = 1,527.25

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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.