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Finding the Fourth Proportional to 1,637.47, 2,457.02 and 1,422.01

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Solution

The fourth proportional to 1,637.47, 2,457.02 and 1,422.01 is: 2,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.47 : 2,457.02 = 1,422.01 : x
  2. Step 2: Convert to fraction form
    1,637.47/2,457.02 = 1,422.01/x
  3. Step 3: Cross multiply
    1,637.47x = 2,457.02 × 1,422.01
  4. Step 4: Simplify right side
    1,637.47x = 3,493,907.01
  5. Step 5: Solve for x
    x = 3,493,907.01/1,637.47
  6. Step 6: Final answer
    x = 2,133.72

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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.