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Finding the Fourth Proportional to 2,015.64, 3,023.02 and 554.64

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Solution

The fourth proportional to 2,015.64, 3,023.02 and 554.64 is: 831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.64 : 3,023.02 = 554.64 : x
  2. Step 2: Convert to fraction form
    2,015.64/3,023.02 = 554.64/x
  3. Step 3: Cross multiply
    2,015.64x = 3,023.02 × 554.64
  4. Step 4: Simplify right side
    2,015.64x = 1,676,687.81
  5. Step 5: Solve for x
    x = 1,676,687.81/2,015.64
  6. Step 6: Final answer
    x = 831.84

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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.