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Finding the Fourth Proportional to 1,602.42, 2,210.76 and 939.21

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Solution

The fourth proportional to 1,602.42, 2,210.76 and 939.21 is: 1,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.42 : 2,210.76 = 939.21 : x
  2. Step 2: Convert to fraction form
    1,602.42/2,210.76 = 939.21/x
  3. Step 3: Cross multiply
    1,602.42x = 2,210.76 × 939.21
  4. Step 4: Simplify right side
    1,602.42x = 2,076,367.90
  5. Step 5: Solve for x
    x = 2,076,367.90/1,602.42
  6. Step 6: Final answer
    x = 1,295.77

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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.