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Finding the Fourth Proportional to 2,952.71, 4,075.19 and 2,243.40

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Solution

The fourth proportional to 2,952.71, 4,075.19 and 2,243.40 is: 3,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.71 : 4,075.19 = 2,243.40 : x
  2. Step 2: Convert to fraction form
    2,952.71/4,075.19 = 2,243.40/x
  3. Step 3: Cross multiply
    2,952.71x = 4,075.19 × 2,243.40
  4. Step 4: Simplify right side
    2,952.71x = 9,142,263.16
  5. Step 5: Solve for x
    x = 9,142,263.16/2,952.71
  6. Step 6: Final answer
    x = 3,096.23

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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.