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Finding the Fourth Proportional to 2,068.65, 2,855.13 and 1,322.46

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Solution

The fourth proportional to 2,068.65, 2,855.13 and 1,322.46 is: 1,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.65 : 2,855.13 = 1,322.46 : x
  2. Step 2: Convert to fraction form
    2,068.65/2,855.13 = 1,322.46/x
  3. Step 3: Cross multiply
    2,068.65x = 2,855.13 × 1,322.46
  4. Step 4: Simplify right side
    2,068.65x = 3,775,795.22
  5. Step 5: Solve for x
    x = 3,775,795.22/2,068.65
  6. Step 6: Final answer
    x = 1,825.25

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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.