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Finding the Fourth Proportional to 2,170.94, 2,997.63 and 2,005.10

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Solution

The fourth proportional to 2,170.94, 2,997.63 and 2,005.10 is: 2,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.94 : 2,997.63 = 2,005.10 : x
  2. Step 2: Convert to fraction form
    2,170.94/2,997.63 = 2,005.10/x
  3. Step 3: Cross multiply
    2,170.94x = 2,997.63 × 2,005.10
  4. Step 4: Simplify right side
    2,170.94x = 6,010,547.91
  5. Step 5: Solve for x
    x = 6,010,547.91/2,170.94
  6. Step 6: Final answer
    x = 2,768.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.