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Finding the Fourth Proportional to 2,886.74, 3,983.68 and 1,707.78

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Solution

The fourth proportional to 2,886.74, 3,983.68 and 1,707.78 is: 2,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.74 : 3,983.68 = 1,707.78 : x
  2. Step 2: Convert to fraction form
    2,886.74/3,983.68 = 1,707.78/x
  3. Step 3: Cross multiply
    2,886.74x = 3,983.68 × 1,707.78
  4. Step 4: Simplify right side
    2,886.74x = 6,803,249.03
  5. Step 5: Solve for x
    x = 6,803,249.03/2,886.74
  6. Step 6: Final answer
    x = 2,356.72

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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.