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Finding the Fourth Proportional to 2,392.40, 3,568.13 and 2,101.80

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Solution

The fourth proportional to 2,392.40, 3,568.13 and 2,101.80 is: 3,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.40 : 3,568.13 = 2,101.80 : x
  2. Step 2: Convert to fraction form
    2,392.40/3,568.13 = 2,101.80/x
  3. Step 3: Cross multiply
    2,392.40x = 3,568.13 × 2,101.80
  4. Step 4: Simplify right side
    2,392.40x = 7,499,495.63
  5. Step 5: Solve for x
    x = 7,499,495.63/2,392.40
  6. Step 6: Final answer
    x = 3,134.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.