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Finding the Fourth Proportional to 1,430.46, 1,974.90 and 933.96

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Solution

The fourth proportional to 1,430.46, 1,974.90 and 933.96 is: 1,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.46 : 1,974.90 = 933.96 : x
  2. Step 2: Convert to fraction form
    1,430.46/1,974.90 = 933.96/x
  3. Step 3: Cross multiply
    1,430.46x = 1,974.90 × 933.96
  4. Step 4: Simplify right side
    1,430.46x = 1,844,477.60
  5. Step 5: Solve for x
    x = 1,844,477.60/1,430.46
  6. Step 6: Final answer
    x = 1,289.43

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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.