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Finding the Fourth Proportional to 2,460.64, 3,400.32 and 1,940.80

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Solution

The fourth proportional to 2,460.64, 3,400.32 and 1,940.80 is: 2,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.64 : 3,400.32 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    2,460.64/3,400.32 = 1,940.80/x
  3. Step 3: Cross multiply
    2,460.64x = 3,400.32 × 1,940.80
  4. Step 4: Simplify right side
    2,460.64x = 6,599,341.06
  5. Step 5: Solve for x
    x = 6,599,341.06/2,460.64
  6. Step 6: Final answer
    x = 2,681.96

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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.