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Finding the Fourth Proportional to 2,445.07, 3,667.61 and 596.18

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Solution

The fourth proportional to 2,445.07, 3,667.61 and 596.18 is: 894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.07 : 3,667.61 = 596.18 : x
  2. Step 2: Convert to fraction form
    2,445.07/3,667.61 = 596.18/x
  3. Step 3: Cross multiply
    2,445.07x = 3,667.61 × 596.18
  4. Step 4: Simplify right side
    2,445.07x = 2,186,552.75
  5. Step 5: Solve for x
    x = 2,186,552.75/2,445.07
  6. Step 6: Final answer
    x = 894.27

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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.