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Finding the Fourth Proportional to 1,642.37, 2,465.17 and 1,123.16

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Solution

The fourth proportional to 1,642.37, 2,465.17 and 1,123.16 is: 1,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.37 : 2,465.17 = 1,123.16 : x
  2. Step 2: Convert to fraction form
    1,642.37/2,465.17 = 1,123.16/x
  3. Step 3: Cross multiply
    1,642.37x = 2,465.17 × 1,123.16
  4. Step 4: Simplify right side
    1,642.37x = 2,768,765.20
  5. Step 5: Solve for x
    x = 2,768,765.20/1,642.37
  6. Step 6: Final answer
    x = 1,685.84

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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.