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Finding the Fourth Proportional to 2,127.86, 2,935.20 and 1,464.67

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Solution

The fourth proportional to 2,127.86, 2,935.20 and 1,464.67 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.86 : 2,935.20 = 1,464.67 : x
  2. Step 2: Convert to fraction form
    2,127.86/2,935.20 = 1,464.67/x
  3. Step 3: Cross multiply
    2,127.86x = 2,935.20 × 1,464.67
  4. Step 4: Simplify right side
    2,127.86x = 4,299,099.38
  5. Step 5: Solve for x
    x = 4,299,099.38/2,127.86
  6. Step 6: Final answer
    x = 2,020.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.