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Finding the Fourth Proportional to 1,867.71, 2,577.47 and 1,071.16

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Solution

The fourth proportional to 1,867.71, 2,577.47 and 1,071.16 is: 1,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.71 : 2,577.47 = 1,071.16 : x
  2. Step 2: Convert to fraction form
    1,867.71/2,577.47 = 1,071.16/x
  3. Step 3: Cross multiply
    1,867.71x = 2,577.47 × 1,071.16
  4. Step 4: Simplify right side
    1,867.71x = 2,760,877.41
  5. Step 5: Solve for x
    x = 2,760,877.41/1,867.71
  6. Step 6: Final answer
    x = 1,478.22

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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.