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Finding the Fourth Proportional to 2,191.27, 3,023.95 and 1,405.32

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Solution

The fourth proportional to 2,191.27, 3,023.95 and 1,405.32 is: 1,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.27 : 3,023.95 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    2,191.27/3,023.95 = 1,405.32/x
  3. Step 3: Cross multiply
    2,191.27x = 3,023.95 × 1,405.32
  4. Step 4: Simplify right side
    2,191.27x = 4,249,618.99
  5. Step 5: Solve for x
    x = 4,249,618.99/2,191.27
  6. Step 6: Final answer
    x = 1,939.34

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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.