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Finding the Fourth Proportional to 1,619.58, 2,235.36 and 1,029.99

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Solution

The fourth proportional to 1,619.58, 2,235.36 and 1,029.99 is: 1,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.58 : 2,235.36 = 1,029.99 : x
  2. Step 2: Convert to fraction form
    1,619.58/2,235.36 = 1,029.99/x
  3. Step 3: Cross multiply
    1,619.58x = 2,235.36 × 1,029.99
  4. Step 4: Simplify right side
    1,619.58x = 2,302,398.45
  5. Step 5: Solve for x
    x = 2,302,398.45/1,619.58
  6. Step 6: Final answer
    x = 1,421.60

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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.