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Finding the Fourth Proportional to 2,271.65, 3,405.44 and 810.47

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Solution

The fourth proportional to 2,271.65, 3,405.44 and 810.47 is: 1,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.65 : 3,405.44 = 810.47 : x
  2. Step 2: Convert to fraction form
    2,271.65/3,405.44 = 810.47/x
  3. Step 3: Cross multiply
    2,271.65x = 3,405.44 × 810.47
  4. Step 4: Simplify right side
    2,271.65x = 2,760,017.50
  5. Step 5: Solve for x
    x = 2,760,017.50/2,271.65
  6. Step 6: Final answer
    x = 1,214.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.