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Finding the Fourth Proportional to 3,322.76, 4,585.40 and 1,830.67

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Solution

The fourth proportional to 3,322.76, 4,585.40 and 1,830.67 is: 2,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.76 : 4,585.40 = 1,830.67 : x
  2. Step 2: Convert to fraction form
    3,322.76/4,585.40 = 1,830.67/x
  3. Step 3: Cross multiply
    3,322.76x = 4,585.40 × 1,830.67
  4. Step 4: Simplify right side
    3,322.76x = 8,394,354.22
  5. Step 5: Solve for x
    x = 8,394,354.22/3,322.76
  6. Step 6: Final answer
    x = 2,526.32

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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.