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Finding the Fourth Proportional to 1,901.62, 2,852.23 and 603.19

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Solution

The fourth proportional to 1,901.62, 2,852.23 and 603.19 is: 904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.62 : 2,852.23 = 603.19 : x
  2. Step 2: Convert to fraction form
    1,901.62/2,852.23 = 603.19/x
  3. Step 3: Cross multiply
    1,901.62x = 2,852.23 × 603.19
  4. Step 4: Simplify right side
    1,901.62x = 1,720,436.61
  5. Step 5: Solve for x
    x = 1,720,436.61/1,901.62
  6. Step 6: Final answer
    x = 904.72

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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.