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Finding the Fourth Proportional to 1,921.23, 2,881.90 and 534.67

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Solution

The fourth proportional to 1,921.23, 2,881.90 and 534.67 is: 802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.23 : 2,881.90 = 534.67 : x
  2. Step 2: Convert to fraction form
    1,921.23/2,881.90 = 534.67/x
  3. Step 3: Cross multiply
    1,921.23x = 2,881.90 × 534.67
  4. Step 4: Simplify right side
    1,921.23x = 1,540,865.47
  5. Step 5: Solve for x
    x = 1,540,865.47/1,921.23
  6. Step 6: Final answer
    x = 802.02

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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.