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Finding the Fourth Proportional to 1,971.89, 2,719.27 and 1,499.79

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Solution

The fourth proportional to 1,971.89, 2,719.27 and 1,499.79 is: 2,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.89 : 2,719.27 = 1,499.79 : x
  2. Step 2: Convert to fraction form
    1,971.89/2,719.27 = 1,499.79/x
  3. Step 3: Cross multiply
    1,971.89x = 2,719.27 × 1,499.79
  4. Step 4: Simplify right side
    1,971.89x = 4,078,333.95
  5. Step 5: Solve for x
    x = 4,078,333.95/1,971.89
  6. Step 6: Final answer
    x = 2,068.24

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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.