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Finding the Fourth Proportional to 2,175.04, 3,263.76 and 942.46

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Solution

The fourth proportional to 2,175.04, 3,263.76 and 942.46 is: 1,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.04 : 3,263.76 = 942.46 : x
  2. Step 2: Convert to fraction form
    2,175.04/3,263.76 = 942.46/x
  3. Step 3: Cross multiply
    2,175.04x = 3,263.76 × 942.46
  4. Step 4: Simplify right side
    2,175.04x = 3,075,960.29
  5. Step 5: Solve for x
    x = 3,075,960.29/2,175.04
  6. Step 6: Final answer
    x = 1,414.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.