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Finding the Fourth Proportional to 1,682.59, 2,322.50 and 1,505.24

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Solution

The fourth proportional to 1,682.59, 2,322.50 and 1,505.24 is: 2,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.59 : 2,322.50 = 1,505.24 : x
  2. Step 2: Convert to fraction form
    1,682.59/2,322.50 = 1,505.24/x
  3. Step 3: Cross multiply
    1,682.59x = 2,322.50 × 1,505.24
  4. Step 4: Simplify right side
    1,682.59x = 3,495,919.90
  5. Step 5: Solve for x
    x = 3,495,919.90/1,682.59
  6. Step 6: Final answer
    x = 2,077.70

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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.