Home / 2,407.64-3,585.31-2,342.84

Finding the Fourth Proportional to 2,407.64, 3,585.31 and 2,342.84

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Solution

The fourth proportional to 2,407.64, 3,585.31 and 2,342.84 is: 3,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.64 : 3,585.31 = 2,342.84 : x
  2. Step 2: Convert to fraction form
    2,407.64/3,585.31 = 2,342.84/x
  3. Step 3: Cross multiply
    2,407.64x = 3,585.31 × 2,342.84
  4. Step 4: Simplify right side
    2,407.64x = 8,399,807.68
  5. Step 5: Solve for x
    x = 8,399,807.68/2,407.64
  6. Step 6: Final answer
    x = 3,488.81

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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.