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Finding the Fourth Proportional to 1,907.47, 2,860.49 and 880.75

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Solution

The fourth proportional to 1,907.47, 2,860.49 and 880.75 is: 1,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.47 : 2,860.49 = 880.75 : x
  2. Step 2: Convert to fraction form
    1,907.47/2,860.49 = 880.75/x
  3. Step 3: Cross multiply
    1,907.47x = 2,860.49 × 880.75
  4. Step 4: Simplify right side
    1,907.47x = 2,519,372.16
  5. Step 5: Solve for x
    x = 2,519,372.16/1,907.47
  6. Step 6: Final answer
    x = 1,320.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.