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Finding the Fourth Proportional to 2,054.45, 2,836.07 and 1,427.10

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Solution

The fourth proportional to 2,054.45, 2,836.07 and 1,427.10 is: 1,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.45 : 2,836.07 = 1,427.10 : x
  2. Step 2: Convert to fraction form
    2,054.45/2,836.07 = 1,427.10/x
  3. Step 3: Cross multiply
    2,054.45x = 2,836.07 × 1,427.10
  4. Step 4: Simplify right side
    2,054.45x = 4,047,348.36
  5. Step 5: Solve for x
    x = 4,047,348.36/2,054.45
  6. Step 6: Final answer
    x = 1,970.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.