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Finding the Fourth Proportional to 1,880.30, 2,821.46 and 785.42

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Solution

The fourth proportional to 1,880.30, 2,821.46 and 785.42 is: 1,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.30 : 2,821.46 = 785.42 : x
  2. Step 2: Convert to fraction form
    1,880.30/2,821.46 = 785.42/x
  3. Step 3: Cross multiply
    1,880.30x = 2,821.46 × 785.42
  4. Step 4: Simplify right side
    1,880.30x = 2,216,013.08
  5. Step 5: Solve for x
    x = 2,216,013.08/1,880.30
  6. Step 6: Final answer
    x = 1,178.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.