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Finding the Fourth Proportional to 2,019.94, 3,030.08 and 559.10

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Solution

The fourth proportional to 2,019.94, 3,030.08 and 559.10 is: 838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.94 : 3,030.08 = 559.10 : x
  2. Step 2: Convert to fraction form
    2,019.94/3,030.08 = 559.10/x
  3. Step 3: Cross multiply
    2,019.94x = 3,030.08 × 559.10
  4. Step 4: Simplify right side
    2,019.94x = 1,694,127.23
  5. Step 5: Solve for x
    x = 1,694,127.23/2,019.94
  6. Step 6: Final answer
    x = 838.70

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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.