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Finding the Fourth Proportional to 1,780.81, 2,468.29 and 1,678.27

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Solution

The fourth proportional to 1,780.81, 2,468.29 and 1,678.27 is: 2,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.81 : 2,468.29 = 1,678.27 : x
  2. Step 2: Convert to fraction form
    1,780.81/2,468.29 = 1,678.27/x
  3. Step 3: Cross multiply
    1,780.81x = 2,468.29 × 1,678.27
  4. Step 4: Simplify right side
    1,780.81x = 4,142,457.06
  5. Step 5: Solve for x
    x = 4,142,457.06/1,780.81
  6. Step 6: Final answer
    x = 2,326.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.