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Finding the Fourth Proportional to 2,389.40, 3,584.08 and 929.58

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Solution

The fourth proportional to 2,389.40, 3,584.08 and 929.58 is: 1,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.40 : 3,584.08 = 929.58 : x
  2. Step 2: Convert to fraction form
    2,389.40/3,584.08 = 929.58/x
  3. Step 3: Cross multiply
    2,389.40x = 3,584.08 × 929.58
  4. Step 4: Simplify right side
    2,389.40x = 3,331,689.09
  5. Step 5: Solve for x
    x = 3,331,689.09/2,389.40
  6. Step 6: Final answer
    x = 1,394.36

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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.