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Finding the Fourth Proportional to 2,597.96, 3,894.62 and 954.12

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Solution

The fourth proportional to 2,597.96, 3,894.62 and 954.12 is: 1,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.96 : 3,894.62 = 954.12 : x
  2. Step 2: Convert to fraction form
    2,597.96/3,894.62 = 954.12/x
  3. Step 3: Cross multiply
    2,597.96x = 3,894.62 × 954.12
  4. Step 4: Simplify right side
    2,597.96x = 3,715,934.83
  5. Step 5: Solve for x
    x = 3,715,934.83/2,597.96
  6. Step 6: Final answer
    x = 1,430.33

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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.