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Finding the Fourth Proportional to 2,009.36, 3,014.04 and 913.76

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Solution

The fourth proportional to 2,009.36, 3,014.04 and 913.76 is: 1,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.36 : 3,014.04 = 913.76 : x
  2. Step 2: Convert to fraction form
    2,009.36/3,014.04 = 913.76/x
  3. Step 3: Cross multiply
    2,009.36x = 3,014.04 × 913.76
  4. Step 4: Simplify right side
    2,009.36x = 2,754,109.19
  5. Step 5: Solve for x
    x = 2,754,109.19/2,009.36
  6. Step 6: Final answer
    x = 1,370.64

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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.