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Finding the Fourth Proportional to 2,015.66, 2,779.00 and 1,306.25

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Solution

The fourth proportional to 2,015.66, 2,779.00 and 1,306.25 is: 1,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.66 : 2,779.00 = 1,306.25 : x
  2. Step 2: Convert to fraction form
    2,015.66/2,779.00 = 1,306.25/x
  3. Step 3: Cross multiply
    2,015.66x = 2,779.00 × 1,306.25
  4. Step 4: Simplify right side
    2,015.66x = 3,630,072.43
  5. Step 5: Solve for x
    x = 3,630,072.43/2,015.66
  6. Step 6: Final answer
    x = 1,800.94

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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.