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Finding the Fourth Proportional to 2,612.64, 3,605.38 and 1,433.72

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Solution

The fourth proportional to 2,612.64, 3,605.38 and 1,433.72 is: 1,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.64 : 3,605.38 = 1,433.72 : x
  2. Step 2: Convert to fraction form
    2,612.64/3,605.38 = 1,433.72/x
  3. Step 3: Cross multiply
    2,612.64x = 3,605.38 × 1,433.72
  4. Step 4: Simplify right side
    2,612.64x = 5,169,105.41
  5. Step 5: Solve for x
    x = 5,169,105.41/2,612.64
  6. Step 6: Final answer
    x = 1,978.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.