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Finding the Fourth Proportional to 1,786.17, 2,465.16 and 1,078.05

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Solution

The fourth proportional to 1,786.17, 2,465.16 and 1,078.05 is: 1,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.17 : 2,465.16 = 1,078.05 : x
  2. Step 2: Convert to fraction form
    1,786.17/2,465.16 = 1,078.05/x
  3. Step 3: Cross multiply
    1,786.17x = 2,465.16 × 1,078.05
  4. Step 4: Simplify right side
    1,786.17x = 2,657,565.74
  5. Step 5: Solve for x
    x = 2,657,565.74/1,786.17
  6. Step 6: Final answer
    x = 1,487.86

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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.