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Finding the Fourth Proportional to 1,773.96, 2,448.41 and 1,102.01

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Solution

The fourth proportional to 1,773.96, 2,448.41 and 1,102.01 is: 1,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.96 : 2,448.41 = 1,102.01 : x
  2. Step 2: Convert to fraction form
    1,773.96/2,448.41 = 1,102.01/x
  3. Step 3: Cross multiply
    1,773.96x = 2,448.41 × 1,102.01
  4. Step 4: Simplify right side
    1,773.96x = 2,698,154.55
  5. Step 5: Solve for x
    x = 2,698,154.55/1,773.96
  6. Step 6: Final answer
    x = 1,520.98

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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.