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Finding the Fourth Proportional to 1,498.54, 2,067.62 and 909.06

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Solution

The fourth proportional to 1,498.54, 2,067.62 and 909.06 is: 1,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.54 : 2,067.62 = 909.06 : x
  2. Step 2: Convert to fraction form
    1,498.54/2,067.62 = 909.06/x
  3. Step 3: Cross multiply
    1,498.54x = 2,067.62 × 909.06
  4. Step 4: Simplify right side
    1,498.54x = 1,879,590.64
  5. Step 5: Solve for x
    x = 1,879,590.64/1,498.54
  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.