Home / 1,600.49-2,207.12-971.12

Finding the Fourth Proportional to 1,600.49, 2,207.12 and 971.12

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Solution

The fourth proportional to 1,600.49, 2,207.12 and 971.12 is: 1,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.49 : 2,207.12 = 971.12 : x
  2. Step 2: Convert to fraction form
    1,600.49/2,207.12 = 971.12/x
  3. Step 3: Cross multiply
    1,600.49x = 2,207.12 × 971.12
  4. Step 4: Simplify right side
    1,600.49x = 2,143,379.04
  5. Step 5: Solve for x
    x = 2,143,379.04/1,600.49
  6. Step 6: Final answer
    x = 1,339.20

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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.