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Finding the Fourth Proportional to 2,690.57, 4,034.03 and 1,045.20

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Solution

The fourth proportional to 2,690.57, 4,034.03 and 1,045.20 is: 1,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.57 : 4,034.03 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    2,690.57/4,034.03 = 1,045.20/x
  3. Step 3: Cross multiply
    2,690.57x = 4,034.03 × 1,045.20
  4. Step 4: Simplify right side
    2,690.57x = 4,216,362.93
  5. Step 5: Solve for x
    x = 4,216,362.93/2,690.57
  6. Step 6: Final answer
    x = 1,567.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.