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Finding the Fourth Proportional to 1,701.54, 2,566.46 and 1,498.64

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Solution

The fourth proportional to 1,701.54, 2,566.46 and 1,498.64 is: 2,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.54 : 2,566.46 = 1,498.64 : x
  2. Step 2: Convert to fraction form
    1,701.54/2,566.46 = 1,498.64/x
  3. Step 3: Cross multiply
    1,701.54x = 2,566.46 × 1,498.64
  4. Step 4: Simplify right side
    1,701.54x = 3,846,179.29
  5. Step 5: Solve for x
    x = 3,846,179.29/1,701.54
  6. Step 6: Final answer
    x = 2,260.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.