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Finding the Fourth Proportional to 1,379.40, 1,900.98 and 1,142.52

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Solution

The fourth proportional to 1,379.40, 1,900.98 and 1,142.52 is: 1,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.40 : 1,900.98 = 1,142.52 : x
  2. Step 2: Convert to fraction form
    1,379.40/1,900.98 = 1,142.52/x
  3. Step 3: Cross multiply
    1,379.40x = 1,900.98 × 1,142.52
  4. Step 4: Simplify right side
    1,379.40x = 2,171,907.67
  5. Step 5: Solve for x
    x = 2,171,907.67/1,379.40
  6. Step 6: Final answer
    x = 1,574.53

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