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Finding the Fourth Proportional to 1,624.45, 2,435.21 and 584.20

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Solution

The fourth proportional to 1,624.45, 2,435.21 and 584.20 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.45 : 2,435.21 = 584.20 : x
  2. Step 2: Convert to fraction form
    1,624.45/2,435.21 = 584.20/x
  3. Step 3: Cross multiply
    1,624.45x = 2,435.21 × 584.20
  4. Step 4: Simplify right side
    1,624.45x = 1,422,646.76
  5. Step 5: Solve for x
    x = 1,422,646.76/1,624.45
  6. Step 6: Final answer
    x = 875.77

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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.