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Finding the Fourth Proportional to 2,277.74, 3,415.34 and 1,455.50

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Solution

The fourth proportional to 2,277.74, 3,415.34 and 1,455.50 is: 2,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.74 : 3,415.34 = 1,455.50 : x
  2. Step 2: Convert to fraction form
    2,277.74/3,415.34 = 1,455.50/x
  3. Step 3: Cross multiply
    2,277.74x = 3,415.34 × 1,455.50
  4. Step 4: Simplify right side
    2,277.74x = 4,971,027.37
  5. Step 5: Solve for x
    x = 4,971,027.37/2,277.74
  6. Step 6: Final answer
    x = 2,182.44

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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.