Home / 1,588.12-2,190.67-997.63

Finding the Fourth Proportional to 1,588.12, 2,190.67 and 997.63

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Solution

The fourth proportional to 1,588.12, 2,190.67 and 997.63 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.12 : 2,190.67 = 997.63 : x
  2. Step 2: Convert to fraction form
    1,588.12/2,190.67 = 997.63/x
  3. Step 3: Cross multiply
    1,588.12x = 2,190.67 × 997.63
  4. Step 4: Simplify right side
    1,588.12x = 2,185,470.14
  5. Step 5: Solve for x
    x = 2,185,470.14/1,588.12
  6. Step 6: Final answer
    x = 1,376.14

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1.5x scale

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.