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Finding the Fourth Proportional to 2,100.77, 2,899.04 and 1,156.51

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Solution

The fourth proportional to 2,100.77, 2,899.04 and 1,156.51 is: 1,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.77 : 2,899.04 = 1,156.51 : x
  2. Step 2: Convert to fraction form
    2,100.77/2,899.04 = 1,156.51/x
  3. Step 3: Cross multiply
    2,100.77x = 2,899.04 × 1,156.51
  4. Step 4: Simplify right side
    2,100.77x = 3,352,754.26
  5. Step 5: Solve for x
    x = 3,352,754.26/2,100.77
  6. Step 6: Final answer
    x = 1,595.97

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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.