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Finding the Fourth Proportional to 1,903.20, 2,624.90 and 1,157.14

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Solution

The fourth proportional to 1,903.20, 2,624.90 and 1,157.14 is: 1,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.20 : 2,624.90 = 1,157.14 : x
  2. Step 2: Convert to fraction form
    1,903.20/2,624.90 = 1,157.14/x
  3. Step 3: Cross multiply
    1,903.20x = 2,624.90 × 1,157.14
  4. Step 4: Simplify right side
    1,903.20x = 3,037,376.79
  5. Step 5: Solve for x
    x = 3,037,376.79/1,903.20
  6. Step 6: Final answer
    x = 1,595.93

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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.