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Finding the Fourth Proportional to 1,829.14, 2,744.57 and 904.76

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Solution

The fourth proportional to 1,829.14, 2,744.57 and 904.76 is: 1,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.14 : 2,744.57 = 904.76 : x
  2. Step 2: Convert to fraction form
    1,829.14/2,744.57 = 904.76/x
  3. Step 3: Cross multiply
    1,829.14x = 2,744.57 × 904.76
  4. Step 4: Simplify right side
    1,829.14x = 2,483,187.17
  5. Step 5: Solve for x
    x = 2,483,187.17/1,829.14
  6. Step 6: Final answer
    x = 1,357.57

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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.