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Finding the Fourth Proportional to 2,602.86, 3,903.58 and 1,141.66

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Solution

The fourth proportional to 2,602.86, 3,903.58 and 1,141.66 is: 1,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.86 : 3,903.58 = 1,141.66 : x
  2. Step 2: Convert to fraction form
    2,602.86/3,903.58 = 1,141.66/x
  3. Step 3: Cross multiply
    2,602.86x = 3,903.58 × 1,141.66
  4. Step 4: Simplify right side
    2,602.86x = 4,456,561.14
  5. Step 5: Solve for x
    x = 4,456,561.14/2,602.86
  6. Step 6: Final answer
    x = 1,712.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.