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Finding the Fourth Proportional to 1,828.02, 2,741.45 and 595.15

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Solution

The fourth proportional to 1,828.02, 2,741.45 and 595.15 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.02 : 2,741.45 = 595.15 : x
  2. Step 2: Convert to fraction form
    1,828.02/2,741.45 = 595.15/x
  3. Step 3: Cross multiply
    1,828.02x = 2,741.45 × 595.15
  4. Step 4: Simplify right side
    1,828.02x = 1,631,568.60
  5. Step 5: Solve for x
    x = 1,631,568.60/1,828.02
  6. Step 6: Final answer
    x = 892.53

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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.