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Finding the Fourth Proportional to 2,512, 3,461.70 and 2,479.60

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Solution

The fourth proportional to 2,512, 3,461.70 and 2,479.60 is: 3,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512 : 3,461.70 = 2,479.60 : x
  2. Step 2: Convert to fraction form
    2,512/3,461.70 = 2,479.60/x
  3. Step 3: Cross multiply
    2,512x = 3,461.70 × 2,479.60
  4. Step 4: Simplify right side
    2,512x = 8,583,631.32
  5. Step 5: Solve for x
    x = 8,583,631.32/2,512
  6. Step 6: Final answer
    x = 3,417.05

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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.