Home / 1,409.23-2,114.54-1,064.67

Finding the Fourth Proportional to 1,409.23, 2,114.54 and 1,064.67

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Solution

The fourth proportional to 1,409.23, 2,114.54 and 1,064.67 is: 1,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.23 : 2,114.54 = 1,064.67 : x
  2. Step 2: Convert to fraction form
    1,409.23/2,114.54 = 1,064.67/x
  3. Step 3: Cross multiply
    1,409.23x = 2,114.54 × 1,064.67
  4. Step 4: Simplify right side
    1,409.23x = 2,251,287.30
  5. Step 5: Solve for x
    x = 2,251,287.30/1,409.23
  6. Step 6: Final answer
    x = 1,597.53

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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.