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Finding the Fourth Proportional to 1,185.65, 1,780.21 and 981.52

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Solution

The fourth proportional to 1,185.65, 1,780.21 and 981.52 is: 1,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.65 : 1,780.21 = 981.52 : x
  2. Step 2: Convert to fraction form
    1,185.65/1,780.21 = 981.52/x
  3. Step 3: Cross multiply
    1,185.65x = 1,780.21 × 981.52
  4. Step 4: Simplify right side
    1,185.65x = 1,747,311.72
  5. Step 5: Solve for x
    x = 1,747,311.72/1,185.65
  6. Step 6: Final answer
    x = 1,473.72

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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.