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Finding the Fourth Proportional to 1,665.57, 2,495.10 and 1,434.45

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Solution

The fourth proportional to 1,665.57, 2,495.10 and 1,434.45 is: 2,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.57 : 2,495.10 = 1,434.45 : x
  2. Step 2: Convert to fraction form
    1,665.57/2,495.10 = 1,434.45/x
  3. Step 3: Cross multiply
    1,665.57x = 2,495.10 × 1,434.45
  4. Step 4: Simplify right side
    1,665.57x = 3,579,096.20
  5. Step 5: Solve for x
    x = 3,579,096.20/1,665.57
  6. Step 6: Final answer
    x = 2,148.87

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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.