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Finding the Fourth Proportional to 1,715.50, 2,576.70 and 1,023.52

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Solution

The fourth proportional to 1,715.50, 2,576.70 and 1,023.52 is: 1,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.50 : 2,576.70 = 1,023.52 : x
  2. Step 2: Convert to fraction form
    1,715.50/2,576.70 = 1,023.52/x
  3. Step 3: Cross multiply
    1,715.50x = 2,576.70 × 1,023.52
  4. Step 4: Simplify right side
    1,715.50x = 2,637,303.98
  5. Step 5: Solve for x
    x = 2,637,303.98/1,715.50
  6. Step 6: Final answer
    x = 1,537.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.