Home / 1,609.83-2,221.38-946.53

Finding the Fourth Proportional to 1,609.83, 2,221.38 and 946.53

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Solution

The fourth proportional to 1,609.83, 2,221.38 and 946.53 is: 1,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.83 : 2,221.38 = 946.53 : x
  2. Step 2: Convert to fraction form
    1,609.83/2,221.38 = 946.53/x
  3. Step 3: Cross multiply
    1,609.83x = 2,221.38 × 946.53
  4. Step 4: Simplify right side
    1,609.83x = 2,102,602.81
  5. Step 5: Solve for x
    x = 2,102,602.81/1,609.83
  6. Step 6: Final answer
    x = 1,306.10

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Double scale
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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.