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Finding the Fourth Proportional to 2,570.06, 3,854.74 and 926.38

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Solution

The fourth proportional to 2,570.06, 3,854.74 and 926.38 is: 1,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.06 : 3,854.74 = 926.38 : x
  2. Step 2: Convert to fraction form
    2,570.06/3,854.74 = 926.38/x
  3. Step 3: Cross multiply
    2,570.06x = 3,854.74 × 926.38
  4. Step 4: Simplify right side
    2,570.06x = 3,570,954.04
  5. Step 5: Solve for x
    x = 3,570,954.04/2,570.06
  6. Step 6: Final answer
    x = 1,389.44

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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.