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Finding the Fourth Proportional to 2,655.70, 3,664.62 and 1,460.48

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Solution

The fourth proportional to 2,655.70, 3,664.62 and 1,460.48 is: 2,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.70 : 3,664.62 = 1,460.48 : x
  2. Step 2: Convert to fraction form
    2,655.70/3,664.62 = 1,460.48/x
  3. Step 3: Cross multiply
    2,655.70x = 3,664.62 × 1,460.48
  4. Step 4: Simplify right side
    2,655.70x = 5,352,104.22
  5. Step 5: Solve for x
    x = 5,352,104.22/2,655.70
  6. Step 6: Final answer
    x = 2,015.33

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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.