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Finding the Fourth Proportional to 2,506.69, 3,459.65 and 1,498.08

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Solution

The fourth proportional to 2,506.69, 3,459.65 and 1,498.08 is: 2,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.69 : 3,459.65 = 1,498.08 : x
  2. Step 2: Convert to fraction form
    2,506.69/3,459.65 = 1,498.08/x
  3. Step 3: Cross multiply
    2,506.69x = 3,459.65 × 1,498.08
  4. Step 4: Simplify right side
    2,506.69x = 5,182,837.96
  5. Step 5: Solve for x
    x = 5,182,837.96/2,506.69
  6. Step 6: Final answer
    x = 2,067.60

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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.