Home / 1,497.96-2,247.14-1,406.84

Finding the Fourth Proportional to 1,497.96, 2,247.14 and 1,406.84

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Solution

The fourth proportional to 1,497.96, 2,247.14 and 1,406.84 is: 2,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,247.14 = 1,406.84 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,247.14 = 1,406.84/x
  3. Step 3: Cross multiply
    1,497.96x = 2,247.14 × 1,406.84
  4. Step 4: Simplify right side
    1,497.96x = 3,161,358.72
  5. Step 5: Solve for x
    x = 3,161,358.72/1,497.96
  6. Step 6: Final answer
    x = 2,110.44

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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.