Home / 1,606.86-2,217.33-977.67

Finding the Fourth Proportional to 1,606.86, 2,217.33 and 977.67

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Solution

The fourth proportional to 1,606.86, 2,217.33 and 977.67 is: 1,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.86 : 2,217.33 = 977.67 : x
  2. Step 2: Convert to fraction form
    1,606.86/2,217.33 = 977.67/x
  3. Step 3: Cross multiply
    1,606.86x = 2,217.33 × 977.67
  4. Step 4: Simplify right side
    1,606.86x = 2,167,817.02
  5. Step 5: Solve for x
    x = 2,167,817.02/1,606.86
  6. Step 6: Final answer
    x = 1,349.10

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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.