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Finding the Fourth Proportional to 2,036.82, 2,808.81 and 1,504.80

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Solution

The fourth proportional to 2,036.82, 2,808.81 and 1,504.80 is: 2,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.82 : 2,808.81 = 1,504.80 : x
  2. Step 2: Convert to fraction form
    2,036.82/2,808.81 = 1,504.80/x
  3. Step 3: Cross multiply
    2,036.82x = 2,808.81 × 1,504.80
  4. Step 4: Simplify right side
    2,036.82x = 4,226,697.29
  5. Step 5: Solve for x
    x = 4,226,697.29/2,036.82
  6. Step 6: Final answer
    x = 2,075.15

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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.