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Finding the Fourth Proportional to 2,015.94, 3,023.58 and 554.76

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Solution

The fourth proportional to 2,015.94, 3,023.58 and 554.76 is: 832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.94 : 3,023.58 = 554.76 : x
  2. Step 2: Convert to fraction form
    2,015.94/3,023.58 = 554.76/x
  3. Step 3: Cross multiply
    2,015.94x = 3,023.58 × 554.76
  4. Step 4: Simplify right side
    2,015.94x = 1,677,361.24
  5. Step 5: Solve for x
    x = 1,677,361.24/2,015.94
  6. Step 6: Final answer
    x = 832.05

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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.