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Finding the Fourth Proportional to 1,501.64, 2,249.20 and 1,420.76

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Solution

The fourth proportional to 1,501.64, 2,249.20 and 1,420.76 is: 2,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.64 : 2,249.20 = 1,420.76 : x
  2. Step 2: Convert to fraction form
    1,501.64/2,249.20 = 1,420.76/x
  3. Step 3: Cross multiply
    1,501.64x = 2,249.20 × 1,420.76
  4. Step 4: Simplify right side
    1,501.64x = 3,195,573.39
  5. Step 5: Solve for x
    x = 3,195,573.39/1,501.64
  6. Step 6: Final answer
    x = 2,128.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.