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Finding the Fourth Proportional to 2,478.54, 3,420.36 and 1,359.48

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Solution

The fourth proportional to 2,478.54, 3,420.36 and 1,359.48 is: 1,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.54 : 3,420.36 = 1,359.48 : x
  2. Step 2: Convert to fraction form
    2,478.54/3,420.36 = 1,359.48/x
  3. Step 3: Cross multiply
    2,478.54x = 3,420.36 × 1,359.48
  4. Step 4: Simplify right side
    2,478.54x = 4,649,911.01
  5. Step 5: Solve for x
    x = 4,649,911.01/2,478.54
  6. Step 6: Final answer
    x = 1,876.07

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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.