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Finding the Fourth Proportional to 2,429.16, 3,352.16 and 1,434.42

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Solution

The fourth proportional to 2,429.16, 3,352.16 and 1,434.42 is: 1,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.16 : 3,352.16 = 1,434.42 : x
  2. Step 2: Convert to fraction form
    2,429.16/3,352.16 = 1,434.42/x
  3. Step 3: Cross multiply
    2,429.16x = 3,352.16 × 1,434.42
  4. Step 4: Simplify right side
    2,429.16x = 4,808,405.35
  5. Step 5: Solve for x
    x = 4,808,405.35/2,429.16
  6. Step 6: Final answer
    x = 1,979.45

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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.