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Finding the Fourth Proportional to 2,389.94, 3,298.18 and 1,445.90

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Solution

The fourth proportional to 2,389.94, 3,298.18 and 1,445.90 is: 1,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.94 : 3,298.18 = 1,445.90 : x
  2. Step 2: Convert to fraction form
    2,389.94/3,298.18 = 1,445.90/x
  3. Step 3: Cross multiply
    2,389.94x = 3,298.18 × 1,445.90
  4. Step 4: Simplify right side
    2,389.94x = 4,768,846.23
  5. Step 5: Solve for x
    x = 4,768,846.23/2,389.94
  6. Step 6: Final answer
    x = 1,995.39

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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.