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Finding the Fourth Proportional to 2,089.56, 3,127.86 and 1,113.24

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Solution

The fourth proportional to 2,089.56, 3,127.86 and 1,113.24 is: 1,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.56 : 3,127.86 = 1,113.24 : x
  2. Step 2: Convert to fraction form
    2,089.56/3,127.86 = 1,113.24/x
  3. Step 3: Cross multiply
    2,089.56x = 3,127.86 × 1,113.24
  4. Step 4: Simplify right side
    2,089.56x = 3,482,058.87
  5. Step 5: Solve for x
    x = 3,482,058.87/2,089.56
  6. Step 6: Final answer
    x = 1,666.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.