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Finding the Fourth Proportional to 1,701.44, 2,567.85 and 1,657.70

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Solution

The fourth proportional to 1,701.44, 2,567.85 and 1,657.70 is: 2,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.44 : 2,567.85 = 1,657.70 : x
  2. Step 2: Convert to fraction form
    1,701.44/2,567.85 = 1,657.70/x
  3. Step 3: Cross multiply
    1,701.44x = 2,567.85 × 1,657.70
  4. Step 4: Simplify right side
    1,701.44x = 4,256,724.84
  5. Step 5: Solve for x
    x = 4,256,724.84/1,701.44
  6. Step 6: Final answer
    x = 2,501.84

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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.