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Finding the Fourth Proportional to 2,153.80, 2,971.64 and 1,269.59

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Solution

The fourth proportional to 2,153.80, 2,971.64 and 1,269.59 is: 1,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.80 : 2,971.64 = 1,269.59 : x
  2. Step 2: Convert to fraction form
    2,153.80/2,971.64 = 1,269.59/x
  3. Step 3: Cross multiply
    2,153.80x = 2,971.64 × 1,269.59
  4. Step 4: Simplify right side
    2,153.80x = 3,772,743.22
  5. Step 5: Solve for x
    x = 3,772,743.22/2,153.80
  6. Step 6: Final answer
    x = 1,751.67

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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.