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Finding the Fourth Proportional to 1,341.88, 2,003.64 and 1,202.16

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Solution

The fourth proportional to 1,341.88, 2,003.64 and 1,202.16 is: 1,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.88 : 2,003.64 = 1,202.16 : x
  2. Step 2: Convert to fraction form
    1,341.88/2,003.64 = 1,202.16/x
  3. Step 3: Cross multiply
    1,341.88x = 2,003.64 × 1,202.16
  4. Step 4: Simplify right side
    1,341.88x = 2,408,695.86
  5. Step 5: Solve for x
    x = 2,408,695.86/1,341.88
  6. Step 6: Final answer
    x = 1,795.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.