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Finding the Fourth Proportional to 2,969.01, 4,096.62 and 1,710.05

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Solution

The fourth proportional to 2,969.01, 4,096.62 and 1,710.05 is: 2,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.01 : 4,096.62 = 1,710.05 : x
  2. Step 2: Convert to fraction form
    2,969.01/4,096.62 = 1,710.05/x
  3. Step 3: Cross multiply
    2,969.01x = 4,096.62 × 1,710.05
  4. Step 4: Simplify right side
    2,969.01x = 7,005,404.55
  5. Step 5: Solve for x
    x = 7,005,404.55/2,969.01
  6. Step 6: Final answer
    x = 2,359.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.