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Finding the Fourth Proportional to 2,071.71, 2,859.30 and 1,408.19

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Solution

The fourth proportional to 2,071.71, 2,859.30 and 1,408.19 is: 1,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.71 : 2,859.30 = 1,408.19 : x
  2. Step 2: Convert to fraction form
    2,071.71/2,859.30 = 1,408.19/x
  3. Step 3: Cross multiply
    2,071.71x = 2,859.30 × 1,408.19
  4. Step 4: Simplify right side
    2,071.71x = 4,026,423.37
  5. Step 5: Solve for x
    x = 4,026,423.37/2,071.71
  6. Step 6: Final answer
    x = 1,943.53

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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.