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Finding the Fourth Proportional to 2,111.49, 2,911.50 and 1,364.49

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Solution

The fourth proportional to 2,111.49, 2,911.50 and 1,364.49 is: 1,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.49 : 2,911.50 = 1,364.49 : x
  2. Step 2: Convert to fraction form
    2,111.49/2,911.50 = 1,364.49/x
  3. Step 3: Cross multiply
    2,111.49x = 2,911.50 × 1,364.49
  4. Step 4: Simplify right side
    2,111.49x = 3,972,712.64
  5. Step 5: Solve for x
    x = 3,972,712.64/2,111.49
  6. Step 6: Final answer
    x = 1,881.47

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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.