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Finding the Fourth Proportional to 2,605.23, 3,595.23 and 1,426.32

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Solution

The fourth proportional to 2,605.23, 3,595.23 and 1,426.32 is: 1,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.23 : 3,595.23 = 1,426.32 : x
  2. Step 2: Convert to fraction form
    2,605.23/3,595.23 = 1,426.32/x
  3. Step 3: Cross multiply
    2,605.23x = 3,595.23 × 1,426.32
  4. Step 4: Simplify right side
    2,605.23x = 5,127,948.45
  5. Step 5: Solve for x
    x = 5,127,948.45/2,605.23
  6. Step 6: Final answer
    x = 1,968.33

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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.