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Finding the Fourth Proportional to 2,345.77, 3,519.46 and 885.34

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Solution

The fourth proportional to 2,345.77, 3,519.46 and 885.34 is: 1,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.77 : 3,519.46 = 885.34 : x
  2. Step 2: Convert to fraction form
    2,345.77/3,519.46 = 885.34/x
  3. Step 3: Cross multiply
    2,345.77x = 3,519.46 × 885.34
  4. Step 4: Simplify right side
    2,345.77x = 3,115,918.72
  5. Step 5: Solve for x
    x = 3,115,918.72/2,345.77
  6. Step 6: Final answer
    x = 1,328.31

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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.