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Finding the Fourth Proportional to 2,433.34, 3,646.76 and 2,405.80

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Solution

The fourth proportional to 2,433.34, 3,646.76 and 2,405.80 is: 3,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.34 : 3,646.76 = 2,405.80 : x
  2. Step 2: Convert to fraction form
    2,433.34/3,646.76 = 2,405.80/x
  3. Step 3: Cross multiply
    2,433.34x = 3,646.76 × 2,405.80
  4. Step 4: Simplify right side
    2,433.34x = 8,773,356.97
  5. Step 5: Solve for x
    x = 8,773,356.97/2,433.34
  6. Step 6: Final answer
    x = 3,605.49

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Why These Related Problems?

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