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Finding the Fourth Proportional to 1,701.67, 2,552.96 and 1,539.01

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Solution

The fourth proportional to 1,701.67, 2,552.96 and 1,539.01 is: 2,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.67 : 2,552.96 = 1,539.01 : x
  2. Step 2: Convert to fraction form
    1,701.67/2,552.96 = 1,539.01/x
  3. Step 3: Cross multiply
    1,701.67x = 2,552.96 × 1,539.01
  4. Step 4: Simplify right side
    1,701.67x = 3,929,030.97
  5. Step 5: Solve for x
    x = 3,929,030.97/1,701.67
  6. Step 6: Final answer
    x = 2,308.93

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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.