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Finding the Fourth Proportional to 1,498.53, 2,067.62 and 909.05

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Solution

The fourth proportional to 1,498.53, 2,067.62 and 909.05 is: 1,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.53 : 2,067.62 = 909.05 : x
  2. Step 2: Convert to fraction form
    1,498.53/2,067.62 = 909.05/x
  3. Step 3: Cross multiply
    1,498.53x = 2,067.62 × 909.05
  4. Step 4: Simplify right side
    1,498.53x = 1,879,569.96
  5. Step 5: Solve for x
    x = 1,879,569.96/1,498.53
  6. Step 6: Final answer
    x = 1,254.28

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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.