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Finding the Fourth Proportional to 2,929.40, 4,033.50 and 2,431.40

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Solution

The fourth proportional to 2,929.40, 4,033.50 and 2,431.40 is: 3,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.40 : 4,033.50 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    2,929.40/4,033.50 = 2,431.40/x
  3. Step 3: Cross multiply
    2,929.40x = 4,033.50 × 2,431.40
  4. Step 4: Simplify right side
    2,929.40x = 9,807,051.90
  5. Step 5: Solve for x
    x = 9,807,051.90/2,929.40
  6. Step 6: Final answer
    x = 3,347.80

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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.