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Finding the Fourth Proportional to 3,322.79, 4,585.50 and 1,830.70

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Solution

The fourth proportional to 3,322.79, 4,585.50 and 1,830.70 is: 2,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.79 : 4,585.50 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    3,322.79/4,585.50 = 1,830.70/x
  3. Step 3: Cross multiply
    3,322.79x = 4,585.50 × 1,830.70
  4. Step 4: Simplify right side
    3,322.79x = 8,394,642.77
  5. Step 5: Solve for x
    x = 8,394,642.77/3,322.79
  6. Step 6: Final answer
    x = 2,526.39

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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.