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Finding the Fourth Proportional to 2,379.58, 3,570.28 and 919.76

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Solution

The fourth proportional to 2,379.58, 3,570.28 and 919.76 is: 1,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.58 : 3,570.28 = 919.76 : x
  2. Step 2: Convert to fraction form
    2,379.58/3,570.28 = 919.76/x
  3. Step 3: Cross multiply
    2,379.58x = 3,570.28 × 919.76
  4. Step 4: Simplify right side
    2,379.58x = 3,283,780.58
  5. Step 5: Solve for x
    x = 3,283,780.58/2,379.58
  6. Step 6: Final answer
    x = 1,379.98

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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.