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Finding the Fourth Proportional to 2,973.40, 4,107.22 and 2,283.32

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Solution

The fourth proportional to 2,973.40, 4,107.22 and 2,283.32 is: 3,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.40 : 4,107.22 = 2,283.32 : x
  2. Step 2: Convert to fraction form
    2,973.40/4,107.22 = 2,283.32/x
  3. Step 3: Cross multiply
    2,973.40x = 4,107.22 × 2,283.32
  4. Step 4: Simplify right side
    2,973.40x = 9,378,097.57
  5. Step 5: Solve for x
    x = 9,378,097.57/2,973.40
  6. Step 6: Final answer
    x = 3,154.00

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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.