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Finding the Fourth Proportional to 1,911.15, 2,866.63 and 524.39

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Solution

The fourth proportional to 1,911.15, 2,866.63 and 524.39 is: 786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.15 : 2,866.63 = 524.39 : x
  2. Step 2: Convert to fraction form
    1,911.15/2,866.63 = 524.39/x
  3. Step 3: Cross multiply
    1,911.15x = 2,866.63 × 524.39
  4. Step 4: Simplify right side
    1,911.15x = 1,503,216.46
  5. Step 5: Solve for x
    x = 1,503,216.46/1,911.15
  6. Step 6: Final answer
    x = 786.55

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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.