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Finding the Fourth Proportional to 1,577.06, 2,364.06 and 1,441.76

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Solution

The fourth proportional to 1,577.06, 2,364.06 and 1,441.76 is: 2,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.06 : 2,364.06 = 1,441.76 : x
  2. Step 2: Convert to fraction form
    1,577.06/2,364.06 = 1,441.76/x
  3. Step 3: Cross multiply
    1,577.06x = 2,364.06 × 1,441.76
  4. Step 4: Simplify right side
    1,577.06x = 3,408,407.15
  5. Step 5: Solve for x
    x = 3,408,407.15/1,577.06
  6. Step 6: Final answer
    x = 2,161.24

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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.