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Finding the Fourth Proportional to 1,503.77, 2,243.80 and 1,339.34

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Solution

The fourth proportional to 1,503.77, 2,243.80 and 1,339.34 is: 1,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.77 : 2,243.80 = 1,339.34 : x
  2. Step 2: Convert to fraction form
    1,503.77/2,243.80 = 1,339.34/x
  3. Step 3: Cross multiply
    1,503.77x = 2,243.80 × 1,339.34
  4. Step 4: Simplify right side
    1,503.77x = 3,005,201.55
  5. Step 5: Solve for x
    x = 3,005,201.55/1,503.77
  6. Step 6: Final answer
    x = 1,998.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.