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Finding the Fourth Proportional to 2,969.51, 4,458.88 and 2,838.03

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Solution

The fourth proportional to 2,969.51, 4,458.88 and 2,838.03 is: 4,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.51 : 4,458.88 = 2,838.03 : x
  2. Step 2: Convert to fraction form
    2,969.51/4,458.88 = 2,838.03/x
  3. Step 3: Cross multiply
    2,969.51x = 4,458.88 × 2,838.03
  4. Step 4: Simplify right side
    2,969.51x = 12,654,435.21
  5. Step 5: Solve for x
    x = 12,654,435.21/2,969.51
  6. Step 6: Final answer
    x = 4,261.46

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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.