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Finding the Fourth Proportional to 2,402.40, 3,605.36 and 1,582.41

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Solution

The fourth proportional to 2,402.40, 3,605.36 and 1,582.41 is: 2,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.40 : 3,605.36 = 1,582.41 : x
  2. Step 2: Convert to fraction form
    2,402.40/3,605.36 = 1,582.41/x
  3. Step 3: Cross multiply
    2,402.40x = 3,605.36 × 1,582.41
  4. Step 4: Simplify right side
    2,402.40x = 5,705,149.81
  5. Step 5: Solve for x
    x = 5,705,149.81/2,402.40
  6. Step 6: Final answer
    x = 2,374.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.