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Finding the Fourth Proportional to 2,612.61, 3,605.39 and 1,433.67

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Solution

The fourth proportional to 2,612.61, 3,605.39 and 1,433.67 is: 1,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.61 : 3,605.39 = 1,433.67 : x
  2. Step 2: Convert to fraction form
    2,612.61/3,605.39 = 1,433.67/x
  3. Step 3: Cross multiply
    2,612.61x = 3,605.39 × 1,433.67
  4. Step 4: Simplify right side
    2,612.61x = 5,168,941.33
  5. Step 5: Solve for x
    x = 5,168,941.33/2,612.61
  6. Step 6: Final answer
    x = 1,978.46

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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.