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Finding the Fourth Proportional to 2,470.19, 3,699.83 and 1,778.21

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Solution

The fourth proportional to 2,470.19, 3,699.83 and 1,778.21 is: 2,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.19 : 3,699.83 = 1,778.21 : x
  2. Step 2: Convert to fraction form
    2,470.19/3,699.83 = 1,778.21/x
  3. Step 3: Cross multiply
    2,470.19x = 3,699.83 × 1,778.21
  4. Step 4: Simplify right side
    2,470.19x = 6,579,047.31
  5. Step 5: Solve for x
    x = 6,579,047.31/2,470.19
  6. Step 6: Final answer
    x = 2,663.38

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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.