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Finding the Fourth Proportional to 1,659.98, 2,501.05 and 1,501.86

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Solution

The fourth proportional to 1,659.98, 2,501.05 and 1,501.86 is: 2,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.98 : 2,501.05 = 1,501.86 : x
  2. Step 2: Convert to fraction form
    1,659.98/2,501.05 = 1,501.86/x
  3. Step 3: Cross multiply
    1,659.98x = 2,501.05 × 1,501.86
  4. Step 4: Simplify right side
    1,659.98x = 3,756,226.95
  5. Step 5: Solve for x
    x = 3,756,226.95/1,659.98
  6. Step 6: Final answer
    x = 2,262.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.