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Finding the Fourth Proportional to 1,907.05, 2,860.74 and 520.39

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Solution

The fourth proportional to 1,907.05, 2,860.74 and 520.39 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.05 : 2,860.74 = 520.39 : x
  2. Step 2: Convert to fraction form
    1,907.05/2,860.74 = 520.39/x
  3. Step 3: Cross multiply
    1,907.05x = 2,860.74 × 520.39
  4. Step 4: Simplify right side
    1,907.05x = 1,488,700.49
  5. Step 5: Solve for x
    x = 1,488,700.49/1,907.05
  6. Step 6: Final answer
    x = 780.63

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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.