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Finding the Fourth Proportional to 4,731.84, 7,098.84 and 1,445.40

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Solution

The fourth proportional to 4,731.84, 7,098.84 and 1,445.40 is: 2,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.84 : 7,098.84 = 1,445.40 : x
  2. Step 2: Convert to fraction form
    4,731.84/7,098.84 = 1,445.40/x
  3. Step 3: Cross multiply
    4,731.84x = 7,098.84 × 1,445.40
  4. Step 4: Simplify right side
    4,731.84x = 10,260,663.34
  5. Step 5: Solve for x
    x = 10,260,663.34/4,731.84
  6. Step 6: Final answer
    x = 2,168.43

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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.