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Finding the Fourth Proportional to 2,345.04, 3,517.14 and 884.19

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Solution

The fourth proportional to 2,345.04, 3,517.14 and 884.19 is: 1,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.04 : 3,517.14 = 884.19 : x
  2. Step 2: Convert to fraction form
    2,345.04/3,517.14 = 884.19/x
  3. Step 3: Cross multiply
    2,345.04x = 3,517.14 × 884.19
  4. Step 4: Simplify right side
    2,345.04x = 3,109,820.02
  5. Step 5: Solve for x
    x = 3,109,820.02/2,345.04
  6. Step 6: Final answer
    x = 1,326.13

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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.