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Finding the Fourth Proportional to 2,901.48, 4,003.62 and 1,659.24

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Solution

The fourth proportional to 2,901.48, 4,003.62 and 1,659.24 is: 2,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.48 : 4,003.62 = 1,659.24 : x
  2. Step 2: Convert to fraction form
    2,901.48/4,003.62 = 1,659.24/x
  3. Step 3: Cross multiply
    2,901.48x = 4,003.62 × 1,659.24
  4. Step 4: Simplify right side
    2,901.48x = 6,642,966.45
  5. Step 5: Solve for x
    x = 6,642,966.45/2,901.48
  6. Step 6: Final answer
    x = 2,289.51

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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.