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Finding the Fourth Proportional to 1,758.96, 2,428.47 and 1,129.77

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Solution

The fourth proportional to 1,758.96, 2,428.47 and 1,129.77 is: 1,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.96 : 2,428.47 = 1,129.77 : x
  2. Step 2: Convert to fraction form
    1,758.96/2,428.47 = 1,129.77/x
  3. Step 3: Cross multiply
    1,758.96x = 2,428.47 × 1,129.77
  4. Step 4: Simplify right side
    1,758.96x = 2,743,612.55
  5. Step 5: Solve for x
    x = 2,743,612.55/1,758.96
  6. Step 6: Final answer
    x = 1,559.79

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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.