Home / 1,645.04-2,270.10-946.28

Finding the Fourth Proportional to 1,645.04, 2,270.10 and 946.28

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Solution

The fourth proportional to 1,645.04, 2,270.10 and 946.28 is: 1,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.04 : 2,270.10 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,645.04/2,270.10 = 946.28/x
  3. Step 3: Cross multiply
    1,645.04x = 2,270.10 × 946.28
  4. Step 4: Simplify right side
    1,645.04x = 2,148,150.23
  5. Step 5: Solve for x
    x = 2,148,150.23/1,645.04
  6. Step 6: Final answer
    x = 1,305.83

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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.