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Finding the Fourth Proportional to 1,685.02, 2,529.14 and 1,037.02

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Solution

The fourth proportional to 1,685.02, 2,529.14 and 1,037.02 is: 1,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.02 : 2,529.14 = 1,037.02 : x
  2. Step 2: Convert to fraction form
    1,685.02/2,529.14 = 1,037.02/x
  3. Step 3: Cross multiply
    1,685.02x = 2,529.14 × 1,037.02
  4. Step 4: Simplify right side
    1,685.02x = 2,622,768.76
  5. Step 5: Solve for x
    x = 2,622,768.76/1,685.02
  6. Step 6: Final answer
    x = 1,556.52

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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.