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Finding the Fourth Proportional to 2,009.61, 3,014.55 and 1,035.99

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Solution

The fourth proportional to 2,009.61, 3,014.55 and 1,035.99 is: 1,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.61 : 3,014.55 = 1,035.99 : x
  2. Step 2: Convert to fraction form
    2,009.61/3,014.55 = 1,035.99/x
  3. Step 3: Cross multiply
    2,009.61x = 3,014.55 × 1,035.99
  4. Step 4: Simplify right side
    2,009.61x = 3,123,043.65
  5. Step 5: Solve for x
    x = 3,123,043.65/2,009.61
  6. Step 6: Final answer
    x = 1,554.05

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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.