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Finding the Fourth Proportional to 1,711.79, 2,362.26 and 925.83

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Solution

The fourth proportional to 1,711.79, 2,362.26 and 925.83 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.79 : 2,362.26 = 925.83 : x
  2. Step 2: Convert to fraction form
    1,711.79/2,362.26 = 925.83/x
  3. Step 3: Cross multiply
    1,711.79x = 2,362.26 × 925.83
  4. Step 4: Simplify right side
    1,711.79x = 2,187,051.18
  5. Step 5: Solve for x
    x = 2,187,051.18/1,711.79
  6. Step 6: Final answer
    x = 1,277.64

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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.