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Finding the Fourth Proportional to 2,453.58, 3,385.53 and 1,405.71

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Solution

The fourth proportional to 2,453.58, 3,385.53 and 1,405.71 is: 1,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.58 : 3,385.53 = 1,405.71 : x
  2. Step 2: Convert to fraction form
    2,453.58/3,385.53 = 1,405.71/x
  3. Step 3: Cross multiply
    2,453.58x = 3,385.53 × 1,405.71
  4. Step 4: Simplify right side
    2,453.58x = 4,759,073.38
  5. Step 5: Solve for x
    x = 4,759,073.38/2,453.58
  6. Step 6: Final answer
    x = 1,939.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.