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Finding the Fourth Proportional to 1,970.72, 2,720.40 and 1,350.08

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Solution

The fourth proportional to 1,970.72, 2,720.40 and 1,350.08 is: 1,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.72 : 2,720.40 = 1,350.08 : x
  2. Step 2: Convert to fraction form
    1,970.72/2,720.40 = 1,350.08/x
  3. Step 3: Cross multiply
    1,970.72x = 2,720.40 × 1,350.08
  4. Step 4: Simplify right side
    1,970.72x = 3,672,757.63
  5. Step 5: Solve for x
    x = 3,672,757.63/1,970.72
  6. Step 6: Final answer
    x = 1,863.66

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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.