Home / 1,783.40-2,675.09-962.06

Finding the Fourth Proportional to 1,783.40, 2,675.09 and 962.06

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Solution

The fourth proportional to 1,783.40, 2,675.09 and 962.06 is: 1,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.40 : 2,675.09 = 962.06 : x
  2. Step 2: Convert to fraction form
    1,783.40/2,675.09 = 962.06/x
  3. Step 3: Cross multiply
    1,783.40x = 2,675.09 × 962.06
  4. Step 4: Simplify right side
    1,783.40x = 2,573,606.18
  5. Step 5: Solve for x
    x = 2,573,606.18/1,783.40
  6. Step 6: Final answer
    x = 1,443.09

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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.