Home / 1,536.30-2,303.76-440.42

Finding the Fourth Proportional to 1,536.30, 2,303.76 and 440.42

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Solution

The fourth proportional to 1,536.30, 2,303.76 and 440.42 is: 660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.30 : 2,303.76 = 440.42 : x
  2. Step 2: Convert to fraction form
    1,536.30/2,303.76 = 440.42/x
  3. Step 3: Cross multiply
    1,536.30x = 2,303.76 × 440.42
  4. Step 4: Simplify right side
    1,536.30x = 1,014,610.46
  5. Step 5: Solve for x
    x = 1,014,610.46/1,536.30
  6. Step 6: Final answer
    x = 660.42

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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.