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Finding the Fourth Proportional to 2,129.32, 2,933.80 and 1,429.48

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Solution

The fourth proportional to 2,129.32, 2,933.80 and 1,429.48 is: 1,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.32 : 2,933.80 = 1,429.48 : x
  2. Step 2: Convert to fraction form
    2,129.32/2,933.80 = 1,429.48/x
  3. Step 3: Cross multiply
    2,129.32x = 2,933.80 × 1,429.48
  4. Step 4: Simplify right side
    2,129.32x = 4,193,808.42
  5. Step 5: Solve for x
    x = 4,193,808.42/2,129.32
  6. Step 6: Final answer
    x = 1,969.55

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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.