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Finding the Fourth Proportional to 1,933.64, 2,670.36 and 1,460.76

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Solution

The fourth proportional to 1,933.64, 2,670.36 and 1,460.76 is: 2,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.64 : 2,670.36 = 1,460.76 : x
  2. Step 2: Convert to fraction form
    1,933.64/2,670.36 = 1,460.76/x
  3. Step 3: Cross multiply
    1,933.64x = 2,670.36 × 1,460.76
  4. Step 4: Simplify right side
    1,933.64x = 3,900,755.07
  5. Step 5: Solve for x
    x = 3,900,755.07/1,933.64
  6. Step 6: Final answer
    x = 2,017.31

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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.