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Finding the Fourth Proportional to 2,804.04, 4,201.41 and 1,705.08

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Solution

The fourth proportional to 2,804.04, 4,201.41 and 1,705.08 is: 2,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.04 : 4,201.41 = 1,705.08 : x
  2. Step 2: Convert to fraction form
    2,804.04/4,201.41 = 1,705.08/x
  3. Step 3: Cross multiply
    2,804.04x = 4,201.41 × 1,705.08
  4. Step 4: Simplify right side
    2,804.04x = 7,163,740.16
  5. Step 5: Solve for x
    x = 7,163,740.16/2,804.04
  6. Step 6: Final answer
    x = 2,554.79

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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.