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Finding the Fourth Proportional to 2,140.10, 2,952.46 and 1,300.67

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Solution

The fourth proportional to 2,140.10, 2,952.46 and 1,300.67 is: 1,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.10 : 2,952.46 = 1,300.67 : x
  2. Step 2: Convert to fraction form
    2,140.10/2,952.46 = 1,300.67/x
  3. Step 3: Cross multiply
    2,140.10x = 2,952.46 × 1,300.67
  4. Step 4: Simplify right side
    2,140.10x = 3,840,176.15
  5. Step 5: Solve for x
    x = 3,840,176.15/2,140.10
  6. Step 6: Final answer
    x = 1,794.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.