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Finding the Fourth Proportional to 1,956.94, 2,949.17 and 1,762.18

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Solution

The fourth proportional to 1,956.94, 2,949.17 and 1,762.18 is: 2,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.94 : 2,949.17 = 1,762.18 : x
  2. Step 2: Convert to fraction form
    1,956.94/2,949.17 = 1,762.18/x
  3. Step 3: Cross multiply
    1,956.94x = 2,949.17 × 1,762.18
  4. Step 4: Simplify right side
    1,956.94x = 5,196,968.39
  5. Step 5: Solve for x
    x = 5,196,968.39/1,956.94
  6. Step 6: Final answer
    x = 2,655.66

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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.