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Finding the Fourth Proportional to 2,066.49, 2,852.51 and 1,368.09

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Solution

The fourth proportional to 2,066.49, 2,852.51 and 1,368.09 is: 1,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.49 : 2,852.51 = 1,368.09 : x
  2. Step 2: Convert to fraction form
    2,066.49/2,852.51 = 1,368.09/x
  3. Step 3: Cross multiply
    2,066.49x = 2,852.51 × 1,368.09
  4. Step 4: Simplify right side
    2,066.49x = 3,902,483.57
  5. Step 5: Solve for x
    x = 3,902,483.57/2,066.49
  6. Step 6: Final answer
    x = 1,888.46

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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.