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Finding the Fourth Proportional to 1,820.68, 2,740.87 and 1,412.20

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Solution

The fourth proportional to 1,820.68, 2,740.87 and 1,412.20 is: 2,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.68 : 2,740.87 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    1,820.68/2,740.87 = 1,412.20/x
  3. Step 3: Cross multiply
    1,820.68x = 2,740.87 × 1,412.20
  4. Step 4: Simplify right side
    1,820.68x = 3,870,656.61
  5. Step 5: Solve for x
    x = 3,870,656.61/1,820.68
  6. Step 6: Final answer
    x = 2,125.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.