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Finding the Fourth Proportional to 1,911.16, 2,866.74 and 524.51

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Solution

The fourth proportional to 1,911.16, 2,866.74 and 524.51 is: 786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.16 : 2,866.74 = 524.51 : x
  2. Step 2: Convert to fraction form
    1,911.16/2,866.74 = 524.51/x
  3. Step 3: Cross multiply
    1,911.16x = 2,866.74 × 524.51
  4. Step 4: Simplify right side
    1,911.16x = 1,503,628.25
  5. Step 5: Solve for x
    x = 1,503,628.25/1,911.16
  6. Step 6: Final answer
    x = 786.76

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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.