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Finding the Fourth Proportional to 2,345.43, 3,518.63 and 884.59

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Solution

The fourth proportional to 2,345.43, 3,518.63 and 884.59 is: 1,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.43 : 3,518.63 = 884.59 : x
  2. Step 2: Convert to fraction form
    2,345.43/3,518.63 = 884.59/x
  3. Step 3: Cross multiply
    2,345.43x = 3,518.63 × 884.59
  4. Step 4: Simplify right side
    2,345.43x = 3,112,544.91
  5. Step 5: Solve for x
    x = 3,112,544.91/2,345.43
  6. Step 6: Final answer
    x = 1,327.07

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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.