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Finding the Fourth Proportional to 2,063.07, 3,094.47 and 602.10

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Solution

The fourth proportional to 2,063.07, 3,094.47 and 602.10 is: 903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.07 : 3,094.47 = 602.10 : x
  2. Step 2: Convert to fraction form
    2,063.07/3,094.47 = 602.10/x
  3. Step 3: Cross multiply
    2,063.07x = 3,094.47 × 602.10
  4. Step 4: Simplify right side
    2,063.07x = 1,863,180.39
  5. Step 5: Solve for x
    x = 1,863,180.39/2,063.07
  6. Step 6: Final answer
    x = 903.11

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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.