Home / 1,367.10-2,046.33-975.84

Finding the Fourth Proportional to 1,367.10, 2,046.33 and 975.84

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Solution

The fourth proportional to 1,367.10, 2,046.33 and 975.84 is: 1,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.10 : 2,046.33 = 975.84 : x
  2. Step 2: Convert to fraction form
    1,367.10/2,046.33 = 975.84/x
  3. Step 3: Cross multiply
    1,367.10x = 2,046.33 × 975.84
  4. Step 4: Simplify right side
    1,367.10x = 1,996,890.67
  5. Step 5: Solve for x
    x = 1,996,890.67/1,367.10
  6. Step 6: Final answer
    x = 1,460.68

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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.