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Finding the Fourth Proportional to 1,515.66, 2,093.01 and 1,433.82

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Solution

The fourth proportional to 1,515.66, 2,093.01 and 1,433.82 is: 1,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.66 : 2,093.01 = 1,433.82 : x
  2. Step 2: Convert to fraction form
    1,515.66/2,093.01 = 1,433.82/x
  3. Step 3: Cross multiply
    1,515.66x = 2,093.01 × 1,433.82
  4. Step 4: Simplify right side
    1,515.66x = 3,000,999.60
  5. Step 5: Solve for x
    x = 3,000,999.60/1,515.66
  6. Step 6: Final answer
    x = 1,980.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.