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Finding the Fourth Proportional to 2,699.59, 4,048.90 and 944.46

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Solution

The fourth proportional to 2,699.59, 4,048.90 and 944.46 is: 1,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.59 : 4,048.90 = 944.46 : x
  2. Step 2: Convert to fraction form
    2,699.59/4,048.90 = 944.46/x
  3. Step 3: Cross multiply
    2,699.59x = 4,048.90 × 944.46
  4. Step 4: Simplify right side
    2,699.59x = 3,824,024.09
  5. Step 5: Solve for x
    x = 3,824,024.09/2,699.59
  6. Step 6: Final answer
    x = 1,416.52

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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.