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Finding the Fourth Proportional to 2,460.35, 3,393.54 and 2,378.99

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Solution

The fourth proportional to 2,460.35, 3,393.54 and 2,378.99 is: 3,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.35 : 3,393.54 = 2,378.99 : x
  2. Step 2: Convert to fraction form
    2,460.35/3,393.54 = 2,378.99/x
  3. Step 3: Cross multiply
    2,460.35x = 3,393.54 × 2,378.99
  4. Step 4: Simplify right side
    2,460.35x = 8,073,206.21
  5. Step 5: Solve for x
    x = 8,073,206.21/2,460.35
  6. Step 6: Final answer
    x = 3,281.32

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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.