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Finding the Fourth Proportional to 1,786.95, 2,464.16 and 1,746.72

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Solution

The fourth proportional to 1,786.95, 2,464.16 and 1,746.72 is: 2,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.95 : 2,464.16 = 1,746.72 : x
  2. Step 2: Convert to fraction form
    1,786.95/2,464.16 = 1,746.72/x
  3. Step 3: Cross multiply
    1,786.95x = 2,464.16 × 1,746.72
  4. Step 4: Simplify right side
    1,786.95x = 4,304,188.82
  5. Step 5: Solve for x
    x = 4,304,188.82/1,786.95
  6. Step 6: Final answer
    x = 2,408.68

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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.