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Finding the Fourth Proportional to 2,037.29, 2,800.65 and 1,752.67

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Solution

The fourth proportional to 2,037.29, 2,800.65 and 1,752.67 is: 2,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.29 : 2,800.65 = 1,752.67 : x
  2. Step 2: Convert to fraction form
    2,037.29/2,800.65 = 1,752.67/x
  3. Step 3: Cross multiply
    2,037.29x = 2,800.65 × 1,752.67
  4. Step 4: Simplify right side
    2,037.29x = 4,908,613.93
  5. Step 5: Solve for x
    x = 4,908,613.93/2,037.29
  6. Step 6: Final answer
    x = 2,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.