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Finding the Fourth Proportional to 1,852.40, 2,778.80 and 619.76

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Solution

The fourth proportional to 1,852.40, 2,778.80 and 619.76 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.40 : 2,778.80 = 619.76 : x
  2. Step 2: Convert to fraction form
    1,852.40/2,778.80 = 619.76/x
  3. Step 3: Cross multiply
    1,852.40x = 2,778.80 × 619.76
  4. Step 4: Simplify right side
    1,852.40x = 1,722,189.09
  5. Step 5: Solve for x
    x = 1,722,189.09/1,852.40
  6. Step 6: Final answer
    x = 929.71

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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.