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Finding the Fourth Proportional to 2,054.80, 2,835.03 and 1,215.10

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Solution

The fourth proportional to 2,054.80, 2,835.03 and 1,215.10 is: 1,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.80 : 2,835.03 = 1,215.10 : x
  2. Step 2: Convert to fraction form
    2,054.80/2,835.03 = 1,215.10/x
  3. Step 3: Cross multiply
    2,054.80x = 2,835.03 × 1,215.10
  4. Step 4: Simplify right side
    2,054.80x = 3,444,844.95
  5. Step 5: Solve for x
    x = 3,444,844.95/2,054.80
  6. Step 6: Final answer
    x = 1,676.49

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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.