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Finding the Fourth Proportional to 1,708.53, 2,357.61 and 962.37

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Solution

The fourth proportional to 1,708.53, 2,357.61 and 962.37 is: 1,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.53 : 2,357.61 = 962.37 : x
  2. Step 2: Convert to fraction form
    1,708.53/2,357.61 = 962.37/x
  3. Step 3: Cross multiply
    1,708.53x = 2,357.61 × 962.37
  4. Step 4: Simplify right side
    1,708.53x = 2,268,893.14
  5. Step 5: Solve for x
    x = 2,268,893.14/1,708.53
  6. Step 6: Final answer
    x = 1,327.98

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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.