Home / 1,465.54-2,022.06-942.28

Finding the Fourth Proportional to 1,465.54, 2,022.06 and 942.28

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Solution

The fourth proportional to 1,465.54, 2,022.06 and 942.28 is: 1,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.54 : 2,022.06 = 942.28 : x
  2. Step 2: Convert to fraction form
    1,465.54/2,022.06 = 942.28/x
  3. Step 3: Cross multiply
    1,465.54x = 2,022.06 × 942.28
  4. Step 4: Simplify right side
    1,465.54x = 1,905,346.70
  5. Step 5: Solve for x
    x = 1,905,346.70/1,465.54
  6. Step 6: Final answer
    x = 1,300.10

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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.