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Finding the Fourth Proportional to 2,690.16, 4,006.83 and 2,570.22

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Solution

The fourth proportional to 2,690.16, 4,006.83 and 2,570.22 is: 3,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.16 : 4,006.83 = 2,570.22 : x
  2. Step 2: Convert to fraction form
    2,690.16/4,006.83 = 2,570.22/x
  3. Step 3: Cross multiply
    2,690.16x = 4,006.83 × 2,570.22
  4. Step 4: Simplify right side
    2,690.16x = 10,298,434.60
  5. Step 5: Solve for x
    x = 10,298,434.60/2,690.16
  6. Step 6: Final answer
    x = 3,828.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.