Home / 1,611.06-2,417.40-962.25

Finding the Fourth Proportional to 1,611.06, 2,417.40 and 962.25

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Solution

The fourth proportional to 1,611.06, 2,417.40 and 962.25 is: 1,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.06 : 2,417.40 = 962.25 : x
  2. Step 2: Convert to fraction form
    1,611.06/2,417.40 = 962.25/x
  3. Step 3: Cross multiply
    1,611.06x = 2,417.40 × 962.25
  4. Step 4: Simplify right side
    1,611.06x = 2,326,143.15
  5. Step 5: Solve for x
    x = 2,326,143.15/1,611.06
  6. Step 6: Final answer
    x = 1,443.86

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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.