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Finding the Fourth Proportional to 1,637.56, 2,453.40 and 1,365.40

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Solution

The fourth proportional to 1,637.56, 2,453.40 and 1,365.40 is: 2,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.56 : 2,453.40 = 1,365.40 : x
  2. Step 2: Convert to fraction form
    1,637.56/2,453.40 = 1,365.40/x
  3. Step 3: Cross multiply
    1,637.56x = 2,453.40 × 1,365.40
  4. Step 4: Simplify right side
    1,637.56x = 3,349,872.36
  5. Step 5: Solve for x
    x = 3,349,872.36/1,637.56
  6. Step 6: Final answer
    x = 2,045.65

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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.