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Finding the Fourth Proportional to 1,604.19, 2,215.04 and 1,230.58

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Solution

The fourth proportional to 1,604.19, 2,215.04 and 1,230.58 is: 1,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.19 : 2,215.04 = 1,230.58 : x
  2. Step 2: Convert to fraction form
    1,604.19/2,215.04 = 1,230.58/x
  3. Step 3: Cross multiply
    1,604.19x = 2,215.04 × 1,230.58
  4. Step 4: Simplify right side
    1,604.19x = 2,725,783.92
  5. Step 5: Solve for x
    x = 2,725,783.92/1,604.19
  6. Step 6: Final answer
    x = 1,699.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.