Home / 1,648.48-2,464.80-1,609.60

Finding the Fourth Proportional to 1,648.48, 2,464.80 and 1,609.60

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Solution

The fourth proportional to 1,648.48, 2,464.80 and 1,609.60 is: 2,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.48 : 2,464.80 = 1,609.60 : x
  2. Step 2: Convert to fraction form
    1,648.48/2,464.80 = 1,609.60/x
  3. Step 3: Cross multiply
    1,648.48x = 2,464.80 × 1,609.60
  4. Step 4: Simplify right side
    1,648.48x = 3,967,342.08
  5. Step 5: Solve for x
    x = 3,967,342.08/1,648.48
  6. Step 6: Final answer
    x = 2,406.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.