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Finding the Fourth Proportional to 1,907.86, 2,862.72 and 933.43

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Solution

The fourth proportional to 1,907.86, 2,862.72 and 933.43 is: 1,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.86 : 2,862.72 = 933.43 : x
  2. Step 2: Convert to fraction form
    1,907.86/2,862.72 = 933.43/x
  3. Step 3: Cross multiply
    1,907.86x = 2,862.72 × 933.43
  4. Step 4: Simplify right side
    1,907.86x = 2,672,148.73
  5. Step 5: Solve for x
    x = 2,672,148.73/1,907.86
  6. Step 6: Final answer
    x = 1,400.60

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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.