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Finding the Fourth Proportional to 2,074.77, 2,864.07 and 1,289.07

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Solution

The fourth proportional to 2,074.77, 2,864.07 and 1,289.07 is: 1,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.77 : 2,864.07 = 1,289.07 : x
  2. Step 2: Convert to fraction form
    2,074.77/2,864.07 = 1,289.07/x
  3. Step 3: Cross multiply
    2,074.77x = 2,864.07 × 1,289.07
  4. Step 4: Simplify right side
    2,074.77x = 3,691,986.71
  5. Step 5: Solve for x
    x = 3,691,986.71/2,074.77
  6. Step 6: Final answer
    x = 1,779.47

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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.