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Finding the Fourth Proportional to 2,281.52, 3,423.10 and 1,186.40

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Solution

The fourth proportional to 2,281.52, 3,423.10 and 1,186.40 is: 1,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.52 : 3,423.10 = 1,186.40 : x
  2. Step 2: Convert to fraction form
    2,281.52/3,423.10 = 1,186.40/x
  3. Step 3: Cross multiply
    2,281.52x = 3,423.10 × 1,186.40
  4. Step 4: Simplify right side
    2,281.52x = 4,061,165.84
  5. Step 5: Solve for x
    x = 4,061,165.84/2,281.52
  6. Step 6: Final answer
    x = 1,780.03

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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.