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Finding the Fourth Proportional to 2,018.74, 2,785.97 and 1,134.67

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Solution

The fourth proportional to 2,018.74, 2,785.97 and 1,134.67 is: 1,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.74 : 2,785.97 = 1,134.67 : x
  2. Step 2: Convert to fraction form
    2,018.74/2,785.97 = 1,134.67/x
  3. Step 3: Cross multiply
    2,018.74x = 2,785.97 × 1,134.67
  4. Step 4: Simplify right side
    2,018.74x = 3,161,156.58
  5. Step 5: Solve for x
    x = 3,161,156.58/2,018.74
  6. Step 6: Final answer
    x = 1,565.91

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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.