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Finding the Fourth Proportional to 1,901.19, 2,852.13 and 602.34

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Solution

The fourth proportional to 1,901.19, 2,852.13 and 602.34 is: 903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.19 : 2,852.13 = 602.34 : x
  2. Step 2: Convert to fraction form
    1,901.19/2,852.13 = 602.34/x
  3. Step 3: Cross multiply
    1,901.19x = 2,852.13 × 602.34
  4. Step 4: Simplify right side
    1,901.19x = 1,717,951.98
  5. Step 5: Solve for x
    x = 1,717,951.98/1,901.19
  6. Step 6: Final answer
    x = 903.62

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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.