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Finding the Fourth Proportional to 2,346.53, 3,518.85 and 1,523.57

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Solution

The fourth proportional to 2,346.53, 3,518.85 and 1,523.57 is: 2,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.53 : 3,518.85 = 1,523.57 : x
  2. Step 2: Convert to fraction form
    2,346.53/3,518.85 = 1,523.57/x
  3. Step 3: Cross multiply
    2,346.53x = 3,518.85 × 1,523.57
  4. Step 4: Simplify right side
    2,346.53x = 5,361,214.29
  5. Step 5: Solve for x
    x = 5,361,214.29/2,346.53
  6. Step 6: Final answer
    x = 2,284.74

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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.