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Finding the Fourth Proportional to 2,071.39, 2,857.59 and 1,398.98

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Solution

The fourth proportional to 2,071.39, 2,857.59 and 1,398.98 is: 1,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.39 : 2,857.59 = 1,398.98 : x
  2. Step 2: Convert to fraction form
    2,071.39/2,857.59 = 1,398.98/x
  3. Step 3: Cross multiply
    2,071.39x = 2,857.59 × 1,398.98
  4. Step 4: Simplify right side
    2,071.39x = 3,997,707.69
  5. Step 5: Solve for x
    x = 3,997,707.69/2,071.39
  6. Step 6: Final answer
    x = 1,929.96

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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.