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Finding the Fourth Proportional to 3,802.06, 5,703.06 and 1,205

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Solution

The fourth proportional to 3,802.06, 5,703.06 and 1,205 is: 1,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.06 : 5,703.06 = 1,205 : x
  2. Step 2: Convert to fraction form
    3,802.06/5,703.06 = 1,205/x
  3. Step 3: Cross multiply
    3,802.06x = 5,703.06 × 1,205
  4. Step 4: Simplify right side
    3,802.06x = 6,872,187.30
  5. Step 5: Solve for x
    x = 6,872,187.30/3,802.06
  6. Step 6: Final answer
    x = 1,807.49

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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.