Home / 2,478.48-3,424.32-2,109.36

Finding the Fourth Proportional to 2,478.48, 3,424.32 and 2,109.36

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Solution

The fourth proportional to 2,478.48, 3,424.32 and 2,109.36 is: 2,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.48 : 3,424.32 = 2,109.36 : x
  2. Step 2: Convert to fraction form
    2,478.48/3,424.32 = 2,109.36/x
  3. Step 3: Cross multiply
    2,478.48x = 3,424.32 × 2,109.36
  4. Step 4: Simplify right side
    2,478.48x = 7,223,123.64
  5. Step 5: Solve for x
    x = 7,223,123.64/2,478.48
  6. Step 6: Final answer
    x = 2,914.34

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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.