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Finding the Fourth Proportional to 2,305.62, 3,185.23 and 1,510.83

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Solution

The fourth proportional to 2,305.62, 3,185.23 and 1,510.83 is: 2,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.62 : 3,185.23 = 1,510.83 : x
  2. Step 2: Convert to fraction form
    2,305.62/3,185.23 = 1,510.83/x
  3. Step 3: Cross multiply
    2,305.62x = 3,185.23 × 1,510.83
  4. Step 4: Simplify right side
    2,305.62x = 4,812,349.21
  5. Step 5: Solve for x
    x = 4,812,349.21/2,305.62
  6. Step 6: Final answer
    x = 2,087.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.