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Finding the Fourth Proportional to 2,605.35, 3,595.47 and 1,426.42

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Solution

The fourth proportional to 2,605.35, 3,595.47 and 1,426.42 is: 1,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.35 : 3,595.47 = 1,426.42 : x
  2. Step 2: Convert to fraction form
    2,605.35/3,595.47 = 1,426.42/x
  3. Step 3: Cross multiply
    2,605.35x = 3,595.47 × 1,426.42
  4. Step 4: Simplify right side
    2,605.35x = 5,128,641.33
  5. Step 5: Solve for x
    x = 5,128,641.33/2,605.35
  6. Step 6: Final answer
    x = 1,968.50

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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.