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Finding the Fourth Proportional to 2,570.97, 3,856.46 and 623.18

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Solution

The fourth proportional to 2,570.97, 3,856.46 and 623.18 is: 934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.97 : 3,856.46 = 623.18 : x
  2. Step 2: Convert to fraction form
    2,570.97/3,856.46 = 623.18/x
  3. Step 3: Cross multiply
    2,570.97x = 3,856.46 × 623.18
  4. Step 4: Simplify right side
    2,570.97x = 2,403,268.74
  5. Step 5: Solve for x
    x = 2,403,268.74/2,570.97
  6. Step 6: Final answer
    x = 934.77

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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.