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Finding the Fourth Proportional to 2,602.92, 3,592.05 and 1,607.97

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Solution

The fourth proportional to 2,602.92, 3,592.05 and 1,607.97 is: 2,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.92 : 3,592.05 = 1,607.97 : x
  2. Step 2: Convert to fraction form
    2,602.92/3,592.05 = 1,607.97/x
  3. Step 3: Cross multiply
    2,602.92x = 3,592.05 × 1,607.97
  4. Step 4: Simplify right side
    2,602.92x = 5,775,908.64
  5. Step 5: Solve for x
    x = 5,775,908.64/2,602.92
  6. Step 6: Final answer
    x = 2,219.01

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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.