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Finding the Fourth Proportional to 2,503.01, 3,454.37 and 1,455

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Solution

The fourth proportional to 2,503.01, 3,454.37 and 1,455 is: 2,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.01 : 3,454.37 = 1,455 : x
  2. Step 2: Convert to fraction form
    2,503.01/3,454.37 = 1,455/x
  3. Step 3: Cross multiply
    2,503.01x = 3,454.37 × 1,455
  4. Step 4: Simplify right side
    2,503.01x = 5,026,101.08
  5. Step 5: Solve for x
    x = 5,026,101.08/2,503.01
  6. Step 6: Final answer
    x = 2,008.03

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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.