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Finding the Fourth Proportional to 1,624.96, 2,235.84 and 1,475.20

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Solution

The fourth proportional to 1,624.96, 2,235.84 and 1,475.20 is: 2,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.96 : 2,235.84 = 1,475.20 : x
  2. Step 2: Convert to fraction form
    1,624.96/2,235.84 = 1,475.20/x
  3. Step 3: Cross multiply
    1,624.96x = 2,235.84 × 1,475.20
  4. Step 4: Simplify right side
    1,624.96x = 3,298,311.17
  5. Step 5: Solve for x
    x = 3,298,311.17/1,624.96
  6. Step 6: Final answer
    x = 2,029.78

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