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Finding the Fourth Proportional to 2,153.52, 2,971.71 and 1,314.36

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Solution

The fourth proportional to 2,153.52, 2,971.71 and 1,314.36 is: 1,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.52 : 2,971.71 = 1,314.36 : x
  2. Step 2: Convert to fraction form
    2,153.52/2,971.71 = 1,314.36/x
  3. Step 3: Cross multiply
    2,153.52x = 2,971.71 × 1,314.36
  4. Step 4: Simplify right side
    2,153.52x = 3,905,896.76
  5. Step 5: Solve for x
    x = 3,905,896.76/2,153.52
  6. Step 6: Final answer
    x = 1,813.73

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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.