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Finding the Fourth Proportional to 2,499.42, 3,448.14 and 1,437

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Solution

The fourth proportional to 2,499.42, 3,448.14 and 1,437 is: 1,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.42 : 3,448.14 = 1,437 : x
  2. Step 2: Convert to fraction form
    2,499.42/3,448.14 = 1,437/x
  3. Step 3: Cross multiply
    2,499.42x = 3,448.14 × 1,437
  4. Step 4: Simplify right side
    2,499.42x = 4,954,977.18
  5. Step 5: Solve for x
    x = 4,954,977.18/2,499.42
  6. Step 6: Final answer
    x = 1,982.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.