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Finding the Fourth Proportional to 2,065.03, 2,849.57 and 1,133.53

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Solution

The fourth proportional to 2,065.03, 2,849.57 and 1,133.53 is: 1,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.03 : 2,849.57 = 1,133.53 : x
  2. Step 2: Convert to fraction form
    2,065.03/2,849.57 = 1,133.53/x
  3. Step 3: Cross multiply
    2,065.03x = 2,849.57 × 1,133.53
  4. Step 4: Simplify right side
    2,065.03x = 3,230,073.08
  5. Step 5: Solve for x
    x = 3,230,073.08/2,065.03
  6. Step 6: Final answer
    x = 1,564.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.