Home / 1,466.22-2,023.24-836.78

Finding the Fourth Proportional to 1,466.22, 2,023.24 and 836.78

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Solution

The fourth proportional to 1,466.22, 2,023.24 and 836.78 is: 1,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.22 : 2,023.24 = 836.78 : x
  2. Step 2: Convert to fraction form
    1,466.22/2,023.24 = 836.78/x
  3. Step 3: Cross multiply
    1,466.22x = 2,023.24 × 836.78
  4. Step 4: Simplify right side
    1,466.22x = 1,693,006.77
  5. Step 5: Solve for x
    x = 1,693,006.77/1,466.22
  6. Step 6: Final answer
    x = 1,154.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.