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Finding the Fourth Proportional to 2,341.26, 3,509.82 and 880.47

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Solution

The fourth proportional to 2,341.26, 3,509.82 and 880.47 is: 1,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.26 : 3,509.82 = 880.47 : x
  2. Step 2: Convert to fraction form
    2,341.26/3,509.82 = 880.47/x
  3. Step 3: Cross multiply
    2,341.26x = 3,509.82 × 880.47
  4. Step 4: Simplify right side
    2,341.26x = 3,090,291.22
  5. Step 5: Solve for x
    x = 3,090,291.22/2,341.26
  6. Step 6: Final answer
    x = 1,319.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.