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Finding the Fourth Proportional to 2,503.48, 3,454.72 and 1,384.40

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Solution

The fourth proportional to 2,503.48, 3,454.72 and 1,384.40 is: 1,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.48 : 3,454.72 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    2,503.48/3,454.72 = 1,384.40/x
  3. Step 3: Cross multiply
    2,503.48x = 3,454.72 × 1,384.40
  4. Step 4: Simplify right side
    2,503.48x = 4,782,714.37
  5. Step 5: Solve for x
    x = 4,782,714.37/2,503.48
  6. Step 6: Final answer
    x = 1,910.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.