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Finding the Fourth Proportional to 2,018.13, 2,785.01 and 1,133.93

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Solution

The fourth proportional to 2,018.13, 2,785.01 and 1,133.93 is: 1,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.13 : 2,785.01 = 1,133.93 : x
  2. Step 2: Convert to fraction form
    2,018.13/2,785.01 = 1,133.93/x
  3. Step 3: Cross multiply
    2,018.13x = 2,785.01 × 1,133.93
  4. Step 4: Simplify right side
    2,018.13x = 3,157,986.79
  5. Step 5: Solve for x
    x = 3,157,986.79/2,018.13
  6. Step 6: Final answer
    x = 1,564.81

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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.