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Finding the Fourth Proportional to 2,852.48, 3,938.04 and 1,969.60

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Solution

The fourth proportional to 2,852.48, 3,938.04 and 1,969.60 is: 2,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.48 : 3,938.04 = 1,969.60 : x
  2. Step 2: Convert to fraction form
    2,852.48/3,938.04 = 1,969.60/x
  3. Step 3: Cross multiply
    2,852.48x = 3,938.04 × 1,969.60
  4. Step 4: Simplify right side
    2,852.48x = 7,756,363.58
  5. Step 5: Solve for x
    x = 7,756,363.58/2,852.48
  6. Step 6: Final answer
    x = 2,719.16

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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.