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Finding the Fourth Proportional to 3,101.85, 4,653.59 and 1,802.21

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Solution

The fourth proportional to 3,101.85, 4,653.59 and 1,802.21 is: 2,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.85 : 4,653.59 = 1,802.21 : x
  2. Step 2: Convert to fraction form
    3,101.85/4,653.59 = 1,802.21/x
  3. Step 3: Cross multiply
    3,101.85x = 4,653.59 × 1,802.21
  4. Step 4: Simplify right side
    3,101.85x = 8,386,714.15
  5. Step 5: Solve for x
    x = 8,386,714.15/3,101.85
  6. Step 6: Final answer
    x = 2,703.78

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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.