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Finding the Fourth Proportional to 2,021.16, 2,785.16 and 1,460.64

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Solution

The fourth proportional to 2,021.16, 2,785.16 and 1,460.64 is: 2,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.16 : 2,785.16 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    2,021.16/2,785.16 = 1,460.64/x
  3. Step 3: Cross multiply
    2,021.16x = 2,785.16 × 1,460.64
  4. Step 4: Simplify right side
    2,021.16x = 4,068,116.10
  5. Step 5: Solve for x
    x = 4,068,116.10/2,021.16
  6. Step 6: Final answer
    x = 2,012.76

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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.