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Finding the Fourth Proportional to 2,308.98, 3,462.03 and 1,528.14

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Solution

The fourth proportional to 2,308.98, 3,462.03 and 1,528.14 is: 2,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.98 : 3,462.03 = 1,528.14 : x
  2. Step 2: Convert to fraction form
    2,308.98/3,462.03 = 1,528.14/x
  3. Step 3: Cross multiply
    2,308.98x = 3,462.03 × 1,528.14
  4. Step 4: Simplify right side
    2,308.98x = 5,290,466.52
  5. Step 5: Solve for x
    x = 5,290,466.52/2,308.98
  6. Step 6: Final answer
    x = 2,291.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.