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Finding the Fourth Proportional to 2,341.08, 3,511.31 and 880.02

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Solution

The fourth proportional to 2,341.08, 3,511.31 and 880.02 is: 1,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.08 : 3,511.31 = 880.02 : x
  2. Step 2: Convert to fraction form
    2,341.08/3,511.31 = 880.02/x
  3. Step 3: Cross multiply
    2,341.08x = 3,511.31 × 880.02
  4. Step 4: Simplify right side
    2,341.08x = 3,090,018.63
  5. Step 5: Solve for x
    x = 3,090,018.63/2,341.08
  6. Step 6: Final answer
    x = 1,319.91

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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.