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Finding the Fourth Proportional to 2,010.02, 2,774.43 and 1,170.92

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Solution

The fourth proportional to 2,010.02, 2,774.43 and 1,170.92 is: 1,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.02 : 2,774.43 = 1,170.92 : x
  2. Step 2: Convert to fraction form
    2,010.02/2,774.43 = 1,170.92/x
  3. Step 3: Cross multiply
    2,010.02x = 2,774.43 × 1,170.92
  4. Step 4: Simplify right side
    2,010.02x = 3,248,642.51
  5. Step 5: Solve for x
    x = 3,248,642.51/2,010.02
  6. Step 6: Final answer
    x = 1,616.23

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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.