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Finding the Fourth Proportional to 2,051.84, 2,820.59 and 1,767.20

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Solution

The fourth proportional to 2,051.84, 2,820.59 and 1,767.20 is: 2,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.84 : 2,820.59 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    2,051.84/2,820.59 = 1,767.20/x
  3. Step 3: Cross multiply
    2,051.84x = 2,820.59 × 1,767.20
  4. Step 4: Simplify right side
    2,051.84x = 4,984,546.65
  5. Step 5: Solve for x
    x = 4,984,546.65/2,051.84
  6. Step 6: Final answer
    x = 2,429.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.