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Finding the Fourth Proportional to 2,357.62, 3,532.38 and 1,624.58

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Solution

The fourth proportional to 2,357.62, 3,532.38 and 1,624.58 is: 2,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.62 : 3,532.38 = 1,624.58 : x
  2. Step 2: Convert to fraction form
    2,357.62/3,532.38 = 1,624.58/x
  3. Step 3: Cross multiply
    2,357.62x = 3,532.38 × 1,624.58
  4. Step 4: Simplify right side
    2,357.62x = 5,738,633.90
  5. Step 5: Solve for x
    x = 5,738,633.90/2,357.62
  6. Step 6: Final answer
    x = 2,434.08

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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.