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Finding the Fourth Proportional to 2,598.39, 3,894.62 and 1,117.13

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Solution

The fourth proportional to 2,598.39, 3,894.62 and 1,117.13 is: 1,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.39 : 3,894.62 = 1,117.13 : x
  2. Step 2: Convert to fraction form
    2,598.39/3,894.62 = 1,117.13/x
  3. Step 3: Cross multiply
    2,598.39x = 3,894.62 × 1,117.13
  4. Step 4: Simplify right side
    2,598.39x = 4,350,771.78
  5. Step 5: Solve for x
    x = 4,350,771.78/2,598.39
  6. Step 6: Final answer
    x = 1,674.41

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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.