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Finding the Fourth Proportional to 2,018.46, 2,785.80 and 1,232.40

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Solution

The fourth proportional to 2,018.46, 2,785.80 and 1,232.40 is: 1,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.46 : 2,785.80 = 1,232.40 : x
  2. Step 2: Convert to fraction form
    2,018.46/2,785.80 = 1,232.40/x
  3. Step 3: Cross multiply
    2,018.46x = 2,785.80 × 1,232.40
  4. Step 4: Simplify right side
    2,018.46x = 3,433,219.92
  5. Step 5: Solve for x
    x = 3,433,219.92/2,018.46
  6. Step 6: Final answer
    x = 1,700.91

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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.