Home / 1,410.41-2,114.46-946.77

Finding the Fourth Proportional to 1,410.41, 2,114.46 and 946.77

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Solution

The fourth proportional to 1,410.41, 2,114.46 and 946.77 is: 1,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.41 : 2,114.46 = 946.77 : x
  2. Step 2: Convert to fraction form
    1,410.41/2,114.46 = 946.77/x
  3. Step 3: Cross multiply
    1,410.41x = 2,114.46 × 946.77
  4. Step 4: Simplify right side
    1,410.41x = 2,001,907.29
  5. Step 5: Solve for x
    x = 2,001,907.29/1,410.41
  6. Step 6: Final answer
    x = 1,419.38

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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.