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Finding the Fourth Proportional to 2,040.02, 3,053.04 and 1,416.03

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Solution

The fourth proportional to 2,040.02, 3,053.04 and 1,416.03 is: 2,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.02 : 3,053.04 = 1,416.03 : x
  2. Step 2: Convert to fraction form
    2,040.02/3,053.04 = 1,416.03/x
  3. Step 3: Cross multiply
    2,040.02x = 3,053.04 × 1,416.03
  4. Step 4: Simplify right side
    2,040.02x = 4,323,180.81
  5. Step 5: Solve for x
    x = 4,323,180.81/2,040.02
  6. Step 6: Final answer
    x = 2,119.19

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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.