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Finding the Fourth Proportional to 1,785.35, 2,682.08 and 1,539.32

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Solution

The fourth proportional to 1,785.35, 2,682.08 and 1,539.32 is: 2,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.35 : 2,682.08 = 1,539.32 : x
  2. Step 2: Convert to fraction form
    1,785.35/2,682.08 = 1,539.32/x
  3. Step 3: Cross multiply
    1,785.35x = 2,682.08 × 1,539.32
  4. Step 4: Simplify right side
    1,785.35x = 4,128,564.05
  5. Step 5: Solve for x
    x = 4,128,564.05/1,785.35
  6. Step 6: Final answer
    x = 2,312.46

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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.