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Finding the Fourth Proportional to 2,104.19, 3,159.07 and 1,798.01

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Solution

The fourth proportional to 2,104.19, 3,159.07 and 1,798.01 is: 2,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.19 : 3,159.07 = 1,798.01 : x
  2. Step 2: Convert to fraction form
    2,104.19/3,159.07 = 1,798.01/x
  3. Step 3: Cross multiply
    2,104.19x = 3,159.07 × 1,798.01
  4. Step 4: Simplify right side
    2,104.19x = 5,680,019.16
  5. Step 5: Solve for x
    x = 5,680,019.16/2,104.19
  6. Step 6: Final answer
    x = 2,699.39

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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.