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Finding the Fourth Proportional to 2,005.76, 3,009.15 and 619.25

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Solution

The fourth proportional to 2,005.76, 3,009.15 and 619.25 is: 929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.76 : 3,009.15 = 619.25 : x
  2. Step 2: Convert to fraction form
    2,005.76/3,009.15 = 619.25/x
  3. Step 3: Cross multiply
    2,005.76x = 3,009.15 × 619.25
  4. Step 4: Simplify right side
    2,005.76x = 1,863,401.09
  5. Step 5: Solve for x
    x = 1,863,401.09/2,005.76
  6. Step 6: Final answer
    x = 929.02

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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.