Home / 1,676.17-2,313.07-977.50

Finding the Fourth Proportional to 1,676.17, 2,313.07 and 977.50

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Solution

The fourth proportional to 1,676.17, 2,313.07 and 977.50 is: 1,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.17 : 2,313.07 = 977.50 : x
  2. Step 2: Convert to fraction form
    1,676.17/2,313.07 = 977.50/x
  3. Step 3: Cross multiply
    1,676.17x = 2,313.07 × 977.50
  4. Step 4: Simplify right side
    1,676.17x = 2,261,025.93
  5. Step 5: Solve for x
    x = 2,261,025.93/1,676.17
  6. Step 6: Final answer
    x = 1,348.92

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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.