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Finding the Fourth Proportional to 1,785.58, 2,463.91 and 1,029.44

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Solution

The fourth proportional to 1,785.58, 2,463.91 and 1,029.44 is: 1,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.58 : 2,463.91 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    1,785.58/2,463.91 = 1,029.44/x
  3. Step 3: Cross multiply
    1,785.58x = 2,463.91 × 1,029.44
  4. Step 4: Simplify right side
    1,785.58x = 2,536,448.80
  5. Step 5: Solve for x
    x = 2,536,448.80/1,785.58
  6. Step 6: Final answer
    x = 1,420.52

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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.