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Finding the Fourth Proportional to 2,308.85, 3,462.35 and 1,335.63

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Solution

The fourth proportional to 2,308.85, 3,462.35 and 1,335.63 is: 2,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.85 : 3,462.35 = 1,335.63 : x
  2. Step 2: Convert to fraction form
    2,308.85/3,462.35 = 1,335.63/x
  3. Step 3: Cross multiply
    2,308.85x = 3,462.35 × 1,335.63
  4. Step 4: Simplify right side
    2,308.85x = 4,624,421.87
  5. Step 5: Solve for x
    x = 4,624,421.87/2,308.85
  6. Step 6: Final answer
    x = 2,002.92

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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.