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Finding the Fourth Proportional to 2,860.14, 4,291.02 and 1,820.10

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Solution

The fourth proportional to 2,860.14, 4,291.02 and 1,820.10 is: 2,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.14 : 4,291.02 = 1,820.10 : x
  2. Step 2: Convert to fraction form
    2,860.14/4,291.02 = 1,820.10/x
  3. Step 3: Cross multiply
    2,860.14x = 4,291.02 × 1,820.10
  4. Step 4: Simplify right side
    2,860.14x = 7,810,085.50
  5. Step 5: Solve for x
    x = 7,810,085.50/2,860.14
  6. Step 6: Final answer
    x = 2,730.67

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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.