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Finding the Fourth Proportional to 2,110.86, 3,165.93 and 571.50

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Solution

The fourth proportional to 2,110.86, 3,165.93 and 571.50 is: 857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.86 : 3,165.93 = 571.50 : x
  2. Step 2: Convert to fraction form
    2,110.86/3,165.93 = 571.50/x
  3. Step 3: Cross multiply
    2,110.86x = 3,165.93 × 571.50
  4. Step 4: Simplify right side
    2,110.86x = 1,809,329.00
  5. Step 5: Solve for x
    x = 1,809,329.00/2,110.86
  6. Step 6: Final answer
    x = 857.15

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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.