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Finding the Fourth Proportional to 2,870.15, 3,960.74 and 1,611.18

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Solution

The fourth proportional to 2,870.15, 3,960.74 and 1,611.18 is: 2,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.15 : 3,960.74 = 1,611.18 : x
  2. Step 2: Convert to fraction form
    2,870.15/3,960.74 = 1,611.18/x
  3. Step 3: Cross multiply
    2,870.15x = 3,960.74 × 1,611.18
  4. Step 4: Simplify right side
    2,870.15x = 6,381,457.02
  5. Step 5: Solve for x
    x = 6,381,457.02/2,870.15
  6. Step 6: Final answer
    x = 2,223.39

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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.