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Finding the Fourth Proportional to 1,587.56, 2,189.94 and 1,121

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Solution

The fourth proportional to 1,587.56, 2,189.94 and 1,121 is: 1,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.56 : 2,189.94 = 1,121 : x
  2. Step 2: Convert to fraction form
    1,587.56/2,189.94 = 1,121/x
  3. Step 3: Cross multiply
    1,587.56x = 2,189.94 × 1,121
  4. Step 4: Simplify right side
    1,587.56x = 2,454,922.74
  5. Step 5: Solve for x
    x = 2,454,922.74/1,587.56
  6. Step 6: Final answer
    x = 1,546.35

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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.