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Finding the Fourth Proportional to 2,153.75, 2,971.71 and 1,269.23

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Solution

The fourth proportional to 2,153.75, 2,971.71 and 1,269.23 is: 1,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.75 : 2,971.71 = 1,269.23 : x
  2. Step 2: Convert to fraction form
    2,153.75/2,971.71 = 1,269.23/x
  3. Step 3: Cross multiply
    2,153.75x = 2,971.71 × 1,269.23
  4. Step 4: Simplify right side
    2,153.75x = 3,771,783.48
  5. Step 5: Solve for x
    x = 3,771,783.48/2,153.75
  6. Step 6: Final answer
    x = 1,751.26

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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.