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Finding the Fourth Proportional to 1,602.23, 2,210.79 and 920.81

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Solution

The fourth proportional to 1,602.23, 2,210.79 and 920.81 is: 1,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.23 : 2,210.79 = 920.81 : x
  2. Step 2: Convert to fraction form
    1,602.23/2,210.79 = 920.81/x
  3. Step 3: Cross multiply
    1,602.23x = 2,210.79 × 920.81
  4. Step 4: Simplify right side
    1,602.23x = 2,035,717.54
  5. Step 5: Solve for x
    x = 2,035,717.54/1,602.23
  6. Step 6: Final answer
    x = 1,270.55

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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.