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Finding the Fourth Proportional to 1,918.45, 2,878.08 and 619.82

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Solution

The fourth proportional to 1,918.45, 2,878.08 and 619.82 is: 929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.45 : 2,878.08 = 619.82 : x
  2. Step 2: Convert to fraction form
    1,918.45/2,878.08 = 619.82/x
  3. Step 3: Cross multiply
    1,918.45x = 2,878.08 × 619.82
  4. Step 4: Simplify right side
    1,918.45x = 1,783,874.06
  5. Step 5: Solve for x
    x = 1,783,874.06/1,918.45
  6. Step 6: Final answer
    x = 929.85

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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.