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Finding the Fourth Proportional to 2,907.86, 4,012.04 and 1,728.50

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Solution

The fourth proportional to 2,907.86, 4,012.04 and 1,728.50 is: 2,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.86 : 4,012.04 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    2,907.86/4,012.04 = 1,728.50/x
  3. Step 3: Cross multiply
    2,907.86x = 4,012.04 × 1,728.50
  4. Step 4: Simplify right side
    2,907.86x = 6,934,811.14
  5. Step 5: Solve for x
    x = 6,934,811.14/2,907.86
  6. Step 6: Final answer
    x = 2,384.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.