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Finding the Fourth Proportional to 2,612.37, 3,604.97 and 1,565.01

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Solution

The fourth proportional to 2,612.37, 3,604.97 and 1,565.01 is: 2,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.37 : 3,604.97 = 1,565.01 : x
  2. Step 2: Convert to fraction form
    2,612.37/3,604.97 = 1,565.01/x
  3. Step 3: Cross multiply
    2,612.37x = 3,604.97 × 1,565.01
  4. Step 4: Simplify right side
    2,612.37x = 5,641,806.27
  5. Step 5: Solve for x
    x = 5,641,806.27/2,612.37
  6. Step 6: Final answer
    x = 2,159.65

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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.