Home / 2,506.34-3,758.93-946.51

Finding the Fourth Proportional to 2,506.34, 3,758.93 and 946.51

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Solution

The fourth proportional to 2,506.34, 3,758.93 and 946.51 is: 1,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.34 : 3,758.93 = 946.51 : x
  2. Step 2: Convert to fraction form
    2,506.34/3,758.93 = 946.51/x
  3. Step 3: Cross multiply
    2,506.34x = 3,758.93 × 946.51
  4. Step 4: Simplify right side
    2,506.34x = 3,557,857.80
  5. Step 5: Solve for x
    x = 3,557,857.80/2,506.34
  6. Step 6: Final answer
    x = 1,419.55

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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.