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Finding the Fourth Proportional to 1,700.96, 2,546.68 and 1,386.72

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Solution

The fourth proportional to 1,700.96, 2,546.68 and 1,386.72 is: 2,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.96 : 2,546.68 = 1,386.72 : x
  2. Step 2: Convert to fraction form
    1,700.96/2,546.68 = 1,386.72/x
  3. Step 3: Cross multiply
    1,700.96x = 2,546.68 × 1,386.72
  4. Step 4: Simplify right side
    1,700.96x = 3,531,532.09
  5. Step 5: Solve for x
    x = 3,531,532.09/1,700.96
  6. Step 6: Final answer
    x = 2,076.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.