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Finding the Fourth Proportional to 2,956.41, 4,075.86 and 2,534.94

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Solution

The fourth proportional to 2,956.41, 4,075.86 and 2,534.94 is: 3,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.41 : 4,075.86 = 2,534.94 : x
  2. Step 2: Convert to fraction form
    2,956.41/4,075.86 = 2,534.94/x
  3. Step 3: Cross multiply
    2,956.41x = 4,075.86 × 2,534.94
  4. Step 4: Simplify right side
    2,956.41x = 10,332,060.55
  5. Step 5: Solve for x
    x = 10,332,060.55/2,956.41
  6. Step 6: Final answer
    x = 3,494.80

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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.