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Finding the Fourth Proportional to 2,969.88, 4,460.04 and 2,852.34

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Solution

The fourth proportional to 2,969.88, 4,460.04 and 2,852.34 is: 4,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.88 : 4,460.04 = 2,852.34 : x
  2. Step 2: Convert to fraction form
    2,969.88/4,460.04 = 2,852.34/x
  3. Step 3: Cross multiply
    2,969.88x = 4,460.04 × 2,852.34
  4. Step 4: Simplify right side
    2,969.88x = 12,721,550.49
  5. Step 5: Solve for x
    x = 12,721,550.49/2,969.88
  6. Step 6: Final answer
    x = 4,283.52

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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.