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Finding the Fourth Proportional to 2,203.40, 3,302.80 and 2,023.04

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Solution

The fourth proportional to 2,203.40, 3,302.80 and 2,023.04 is: 3,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.40 : 3,302.80 = 2,023.04 : x
  2. Step 2: Convert to fraction form
    2,203.40/3,302.80 = 2,023.04/x
  3. Step 3: Cross multiply
    2,203.40x = 3,302.80 × 2,023.04
  4. Step 4: Simplify right side
    2,203.40x = 6,681,696.51
  5. Step 5: Solve for x
    x = 6,681,696.51/2,203.40
  6. Step 6: Final answer
    x = 3,032.45

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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.