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Finding the Fourth Proportional to 1,215.55, 1,824.23 and 981.82

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Solution

The fourth proportional to 1,215.55, 1,824.23 and 981.82 is: 1,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.55 : 1,824.23 = 981.82 : x
  2. Step 2: Convert to fraction form
    1,215.55/1,824.23 = 981.82/x
  3. Step 3: Cross multiply
    1,215.55x = 1,824.23 × 981.82
  4. Step 4: Simplify right side
    1,215.55x = 1,791,065.50
  5. Step 5: Solve for x
    x = 1,791,065.50/1,215.55
  6. Step 6: Final answer
    x = 1,473.46

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Why These Related Problems?

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