Home / 1,648.96-2,464.32-1,477.64

Finding the Fourth Proportional to 1,648.96, 2,464.32 and 1,477.64

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Solution

The fourth proportional to 1,648.96, 2,464.32 and 1,477.64 is: 2,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.96 : 2,464.32 = 1,477.64 : x
  2. Step 2: Convert to fraction form
    1,648.96/2,464.32 = 1,477.64/x
  3. Step 3: Cross multiply
    1,648.96x = 2,464.32 × 1,477.64
  4. Step 4: Simplify right side
    1,648.96x = 3,641,377.80
  5. Step 5: Solve for x
    x = 3,641,377.80/1,648.96
  6. Step 6: Final answer
    x = 2,208.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.