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Finding the Fourth Proportional to 1,867.78, 2,577.36 and 1,071.01

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Solution

The fourth proportional to 1,867.78, 2,577.36 and 1,071.01 is: 1,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.78 : 2,577.36 = 1,071.01 : x
  2. Step 2: Convert to fraction form
    1,867.78/2,577.36 = 1,071.01/x
  3. Step 3: Cross multiply
    1,867.78x = 2,577.36 × 1,071.01
  4. Step 4: Simplify right side
    1,867.78x = 2,760,378.33
  5. Step 5: Solve for x
    x = 2,760,378.33/1,867.78
  6. Step 6: Final answer
    x = 1,477.89

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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.