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Finding the Fourth Proportional to 1,918.13, 2,877.60 and 619.70

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Solution

The fourth proportional to 1,918.13, 2,877.60 and 619.70 is: 929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.13 : 2,877.60 = 619.70 : x
  2. Step 2: Convert to fraction form
    1,918.13/2,877.60 = 619.70/x
  3. Step 3: Cross multiply
    1,918.13x = 2,877.60 × 619.70
  4. Step 4: Simplify right side
    1,918.13x = 1,783,234.33
  5. Step 5: Solve for x
    x = 1,783,234.33/1,918.13
  6. Step 6: Final answer
    x = 929.68

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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.