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Finding the Fourth Proportional to 2,072.58, 2,859.90 and 1,410.30

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Solution

The fourth proportional to 2,072.58, 2,859.90 and 1,410.30 is: 1,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.58 : 2,859.90 = 1,410.30 : x
  2. Step 2: Convert to fraction form
    2,072.58/2,859.90 = 1,410.30/x
  3. Step 3: Cross multiply
    2,072.58x = 2,859.90 × 1,410.30
  4. Step 4: Simplify right side
    2,072.58x = 4,033,316.97
  5. Step 5: Solve for x
    x = 4,033,316.97/2,072.58
  6. Step 6: Final answer
    x = 1,946.04

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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.