Home / 1,434.44-2,148.01-946.01

Finding the Fourth Proportional to 1,434.44, 2,148.01 and 946.01

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Solution

The fourth proportional to 1,434.44, 2,148.01 and 946.01 is: 1,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.44 : 2,148.01 = 946.01 : x
  2. Step 2: Convert to fraction form
    1,434.44/2,148.01 = 946.01/x
  3. Step 3: Cross multiply
    1,434.44x = 2,148.01 × 946.01
  4. Step 4: Simplify right side
    1,434.44x = 2,032,038.94
  5. Step 5: Solve for x
    x = 2,032,038.94/1,434.44
  6. Step 6: Final answer
    x = 1,416.61

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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.