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Finding the Fourth Proportional to 2,478.33, 3,420.47 and 1,416.32

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Solution

The fourth proportional to 2,478.33, 3,420.47 and 1,416.32 is: 1,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.33 : 3,420.47 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    2,478.33/3,420.47 = 1,416.32/x
  3. Step 3: Cross multiply
    2,478.33x = 3,420.47 × 1,416.32
  4. Step 4: Simplify right side
    2,478.33x = 4,844,480.07
  5. Step 5: Solve for x
    x = 4,844,480.07/2,478.33
  6. Step 6: Final answer
    x = 1,954.74

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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.