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Finding the Fourth Proportional to 2,017.74, 2,784.32 and 1,133.37

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Solution

The fourth proportional to 2,017.74, 2,784.32 and 1,133.37 is: 1,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.74 : 2,784.32 = 1,133.37 : x
  2. Step 2: Convert to fraction form
    2,017.74/2,784.32 = 1,133.37/x
  3. Step 3: Cross multiply
    2,017.74x = 2,784.32 × 1,133.37
  4. Step 4: Simplify right side
    2,017.74x = 3,155,661.89
  5. Step 5: Solve for x
    x = 3,155,661.89/2,017.74
  6. Step 6: Final answer
    x = 1,563.96

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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.