Home / 1,418.04-2,126.54-784.67

Finding the Fourth Proportional to 1,418.04, 2,126.54 and 784.67

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Solution

The fourth proportional to 1,418.04, 2,126.54 and 784.67 is: 1,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.04 : 2,126.54 = 784.67 : x
  2. Step 2: Convert to fraction form
    1,418.04/2,126.54 = 784.67/x
  3. Step 3: Cross multiply
    1,418.04x = 2,126.54 × 784.67
  4. Step 4: Simplify right side
    1,418.04x = 1,668,632.14
  5. Step 5: Solve for x
    x = 1,668,632.14/1,418.04
  6. Step 6: Final answer
    x = 1,176.72

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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.