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Finding the Fourth Proportional to 1,619.49, 2,235.15 and 1,030.22

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Solution

The fourth proportional to 1,619.49, 2,235.15 and 1,030.22 is: 1,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.49 : 2,235.15 = 1,030.22 : x
  2. Step 2: Convert to fraction form
    1,619.49/2,235.15 = 1,030.22/x
  3. Step 3: Cross multiply
    1,619.49x = 2,235.15 × 1,030.22
  4. Step 4: Simplify right side
    1,619.49x = 2,302,685.06
  5. Step 5: Solve for x
    x = 2,302,685.06/1,619.49
  6. Step 6: Final answer
    x = 1,421.86

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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.