Home / 1,588.94-2,193.75-1,022.03

Finding the Fourth Proportional to 1,588.94, 2,193.75 and 1,022.03

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Solution

The fourth proportional to 1,588.94, 2,193.75 and 1,022.03 is: 1,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.94 : 2,193.75 = 1,022.03 : x
  2. Step 2: Convert to fraction form
    1,588.94/2,193.75 = 1,022.03/x
  3. Step 3: Cross multiply
    1,588.94x = 2,193.75 × 1,022.03
  4. Step 4: Simplify right side
    1,588.94x = 2,242,069.40
  5. Step 5: Solve for x
    x = 2,242,069.40/1,588.94
  6. Step 6: Final answer
    x = 1,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.