Home / 2,783.64-3,840.30-1,664.16

Finding the Fourth Proportional to 2,783.64, 3,840.30 and 1,664.16

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Solution

The fourth proportional to 2,783.64, 3,840.30 and 1,664.16 is: 2,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.64 : 3,840.30 = 1,664.16 : x
  2. Step 2: Convert to fraction form
    2,783.64/3,840.30 = 1,664.16/x
  3. Step 3: Cross multiply
    2,783.64x = 3,840.30 × 1,664.16
  4. Step 4: Simplify right side
    2,783.64x = 6,390,873.65
  5. Step 5: Solve for x
    x = 6,390,873.65/2,783.64
  6. Step 6: Final answer
    x = 2,295.87

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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.