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Finding the Fourth Proportional to 2,853.44, 4,280.63 and 1,210.01

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Solution

The fourth proportional to 2,853.44, 4,280.63 and 1,210.01 is: 1,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.44 : 4,280.63 = 1,210.01 : x
  2. Step 2: Convert to fraction form
    2,853.44/4,280.63 = 1,210.01/x
  3. Step 3: Cross multiply
    2,853.44x = 4,280.63 × 1,210.01
  4. Step 4: Simplify right side
    2,853.44x = 5,179,584.46
  5. Step 5: Solve for x
    x = 5,179,584.46/2,853.44
  6. Step 6: Final answer
    x = 1,815.20

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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.