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Finding the Fourth Proportional to 2,506.23, 3,759.46 and 657.35

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Solution

The fourth proportional to 2,506.23, 3,759.46 and 657.35 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.23 : 3,759.46 = 657.35 : x
  2. Step 2: Convert to fraction form
    2,506.23/3,759.46 = 657.35/x
  3. Step 3: Cross multiply
    2,506.23x = 3,759.46 × 657.35
  4. Step 4: Simplify right side
    2,506.23x = 2,471,264.29
  5. Step 5: Solve for x
    x = 2,471,264.29/2,506.23
  6. Step 6: Final answer
    x = 986.05

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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.