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Finding the Fourth Proportional to 1,436.80, 2,077.60 and 1,436.80

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Solution

The fourth proportional to 1,436.80, 2,077.60 and 1,436.80 is: 2,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.80 : 2,077.60 = 1,436.80 : x
  2. Step 2: Convert to fraction form
    1,436.80/2,077.60 = 1,436.80/x
  3. Step 3: Cross multiply
    1,436.80x = 2,077.60 × 1,436.80
  4. Step 4: Simplify right side
    1,436.80x = 2,985,095.68
  5. Step 5: Solve for x
    x = 2,985,095.68/1,436.80
  6. Step 6: Final answer
    x = 2,077.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.