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Finding the Fourth Proportional to 1,577.79, 2,177.37 and 914.67

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Solution

The fourth proportional to 1,577.79, 2,177.37 and 914.67 is: 1,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.79 : 2,177.37 = 914.67 : x
  2. Step 2: Convert to fraction form
    1,577.79/2,177.37 = 914.67/x
  3. Step 3: Cross multiply
    1,577.79x = 2,177.37 × 914.67
  4. Step 4: Simplify right side
    1,577.79x = 1,991,575.02
  5. Step 5: Solve for x
    x = 1,991,575.02/1,577.79
  6. Step 6: Final answer
    x = 1,262.26

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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.