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Finding the Fourth Proportional to 2,129.85, 2,937.96 and 1,466.67

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Solution

The fourth proportional to 2,129.85, 2,937.96 and 1,466.67 is: 2,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.85 : 2,937.96 = 1,466.67 : x
  2. Step 2: Convert to fraction form
    2,129.85/2,937.96 = 1,466.67/x
  3. Step 3: Cross multiply
    2,129.85x = 2,937.96 × 1,466.67
  4. Step 4: Simplify right side
    2,129.85x = 4,309,017.79
  5. Step 5: Solve for x
    x = 4,309,017.79/2,129.85
  6. Step 6: Final answer
    x = 2,023.16

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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.