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Finding the Fourth Proportional to 1,907.22, 2,860.11 and 880.50

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Solution

The fourth proportional to 1,907.22, 2,860.11 and 880.50 is: 1,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.22 : 2,860.11 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,907.22/2,860.11 = 880.50/x
  3. Step 3: Cross multiply
    1,907.22x = 2,860.11 × 880.50
  4. Step 4: Simplify right side
    1,907.22x = 2,518,326.86
  5. Step 5: Solve for x
    x = 2,518,326.86/1,907.22
  6. Step 6: Final answer
    x = 1,320.42

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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.