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Finding the Fourth Proportional to 1,902.14, 2,852.88 and 603.32

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Solution

The fourth proportional to 1,902.14, 2,852.88 and 603.32 is: 904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.14 : 2,852.88 = 603.32 : x
  2. Step 2: Convert to fraction form
    1,902.14/2,852.88 = 603.32/x
  3. Step 3: Cross multiply
    1,902.14x = 2,852.88 × 603.32
  4. Step 4: Simplify right side
    1,902.14x = 1,721,199.56
  5. Step 5: Solve for x
    x = 1,721,199.56/1,902.14
  6. Step 6: Final answer
    x = 904.88

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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.