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Finding the Fourth Proportional to 1,365.61, 2,048.38 and 339.61

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Solution

The fourth proportional to 1,365.61, 2,048.38 and 339.61 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.61 : 2,048.38 = 339.61 : x
  2. Step 2: Convert to fraction form
    1,365.61/2,048.38 = 339.61/x
  3. Step 3: Cross multiply
    1,365.61x = 2,048.38 × 339.61
  4. Step 4: Simplify right side
    1,365.61x = 695,650.33
  5. Step 5: Solve for x
    x = 695,650.33/1,365.61
  6. Step 6: Final answer
    x = 509.41

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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.