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Finding the Fourth Proportional to 1,715.10, 2,576.10 and 1,023.12

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Solution

The fourth proportional to 1,715.10, 2,576.10 and 1,023.12 is: 1,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.10 : 2,576.10 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    1,715.10/2,576.10 = 1,023.12/x
  3. Step 3: Cross multiply
    1,715.10x = 2,576.10 × 1,023.12
  4. Step 4: Simplify right side
    1,715.10x = 2,635,664.26
  5. Step 5: Solve for x
    x = 2,635,664.26/1,715.10
  6. Step 6: Final answer
    x = 1,536.74

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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.