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Finding the Fourth Proportional to 3,205.58, 4,802.70 and 1,470.56

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Solution

The fourth proportional to 3,205.58, 4,802.70 and 1,470.56 is: 2,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.58 : 4,802.70 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    3,205.58/4,802.70 = 1,470.56/x
  3. Step 3: Cross multiply
    3,205.58x = 4,802.70 × 1,470.56
  4. Step 4: Simplify right side
    3,205.58x = 7,062,658.51
  5. Step 5: Solve for x
    x = 7,062,658.51/3,205.58
  6. Step 6: Final answer
    x = 2,203.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.