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Finding the Fourth Proportional to 2,157.57, 2,977.35 and 1,319.67

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Solution

The fourth proportional to 2,157.57, 2,977.35 and 1,319.67 is: 1,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.57 : 2,977.35 = 1,319.67 : x
  2. Step 2: Convert to fraction form
    2,157.57/2,977.35 = 1,319.67/x
  3. Step 3: Cross multiply
    2,157.57x = 2,977.35 × 1,319.67
  4. Step 4: Simplify right side
    2,157.57x = 3,929,119.47
  5. Step 5: Solve for x
    x = 3,929,119.47/2,157.57
  6. Step 6: Final answer
    x = 1,821.09

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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.