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Finding the Fourth Proportional to 2,277.44, 3,416.16 and 817.01

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Solution

The fourth proportional to 2,277.44, 3,416.16 and 817.01 is: 1,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.44 : 3,416.16 = 817.01 : x
  2. Step 2: Convert to fraction form
    2,277.44/3,416.16 = 817.01/x
  3. Step 3: Cross multiply
    2,277.44x = 3,416.16 × 817.01
  4. Step 4: Simplify right side
    2,277.44x = 2,791,036.88
  5. Step 5: Solve for x
    x = 2,791,036.88/2,277.44
  6. Step 6: Final answer
    x = 1,225.52

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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.