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Finding the Fourth Proportional to 1,954.98, 2,697.87 and 1,070.78

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Solution

The fourth proportional to 1,954.98, 2,697.87 and 1,070.78 is: 1,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.98 : 2,697.87 = 1,070.78 : x
  2. Step 2: Convert to fraction form
    1,954.98/2,697.87 = 1,070.78/x
  3. Step 3: Cross multiply
    1,954.98x = 2,697.87 × 1,070.78
  4. Step 4: Simplify right side
    1,954.98x = 2,888,825.24
  5. Step 5: Solve for x
    x = 2,888,825.24/1,954.98
  6. Step 6: Final answer
    x = 1,477.68

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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.