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Finding the Fourth Proportional to 2,602.95, 3,593.23 and 1,660.00

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Solution

The fourth proportional to 2,602.95, 3,593.23 and 1,660.00 is: 2,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.95 : 3,593.23 = 1,660.00 : x
  2. Step 2: Convert to fraction form
    2,602.95/3,593.23 = 1,660.00/x
  3. Step 3: Cross multiply
    2,602.95x = 3,593.23 × 1,660.00
  4. Step 4: Simplify right side
    2,602.95x = 5,964,764.74
  5. Step 5: Solve for x
    x = 5,964,764.74/2,602.95
  6. Step 6: Final answer
    x = 2,291.54

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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.