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Finding the Fourth Proportional to 2,445.89, 3,666.84 and 983.63

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Solution

The fourth proportional to 2,445.89, 3,666.84 and 983.63 is: 1,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.89 : 3,666.84 = 983.63 : x
  2. Step 2: Convert to fraction form
    2,445.89/3,666.84 = 983.63/x
  3. Step 3: Cross multiply
    2,445.89x = 3,666.84 × 983.63
  4. Step 4: Simplify right side
    2,445.89x = 3,606,795.50
  5. Step 5: Solve for x
    x = 3,606,795.50/2,445.89
  6. Step 6: Final answer
    x = 1,474.64

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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.