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Finding the Fourth Proportional to 2,776.59, 4,162.46 and 1,044

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Solution

The fourth proportional to 2,776.59, 4,162.46 and 1,044 is: 1,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.59 : 4,162.46 = 1,044 : x
  2. Step 2: Convert to fraction form
    2,776.59/4,162.46 = 1,044/x
  3. Step 3: Cross multiply
    2,776.59x = 4,162.46 × 1,044
  4. Step 4: Simplify right side
    2,776.59x = 4,345,603.02
  5. Step 5: Solve for x
    x = 4,345,603.02/2,776.59
  6. Step 6: Final answer
    x = 1,565.09

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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.