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Finding the Fourth Proportional to 2,017.65, 2,784.36 and 1,133.46

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Solution

The fourth proportional to 2,017.65, 2,784.36 and 1,133.46 is: 1,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.65 : 2,784.36 = 1,133.46 : x
  2. Step 2: Convert to fraction form
    2,017.65/2,784.36 = 1,133.46/x
  3. Step 3: Cross multiply
    2,017.65x = 2,784.36 × 1,133.46
  4. Step 4: Simplify right side
    2,017.65x = 3,155,960.69
  5. Step 5: Solve for x
    x = 3,155,960.69/2,017.65
  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.