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Finding the Fourth Proportional to 2,086.01, 2,873.74 and 1,455.39

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Solution

The fourth proportional to 2,086.01, 2,873.74 and 1,455.39 is: 2,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.01 : 2,873.74 = 1,455.39 : x
  2. Step 2: Convert to fraction form
    2,086.01/2,873.74 = 1,455.39/x
  3. Step 3: Cross multiply
    2,086.01x = 2,873.74 × 1,455.39
  4. Step 4: Simplify right side
    2,086.01x = 4,182,390.81
  5. Step 5: Solve for x
    x = 4,182,390.81/2,086.01
  6. Step 6: Final answer
    x = 2,004.98

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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.