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Finding the Fourth Proportional to 1,877.77, 2,589.23 and 1,536.03

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Solution

The fourth proportional to 1,877.77, 2,589.23 and 1,536.03 is: 2,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.77 : 2,589.23 = 1,536.03 : x
  2. Step 2: Convert to fraction form
    1,877.77/2,589.23 = 1,536.03/x
  3. Step 3: Cross multiply
    1,877.77x = 2,589.23 × 1,536.03
  4. Step 4: Simplify right side
    1,877.77x = 3,977,134.96
  5. Step 5: Solve for x
    x = 3,977,134.96/1,877.77
  6. Step 6: Final answer
    x = 2,118.01

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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.