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Finding the Fourth Proportional to 2,335.42, 3,504.52 and 875.62

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Solution

The fourth proportional to 2,335.42, 3,504.52 and 875.62 is: 1,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.42 : 3,504.52 = 875.62 : x
  2. Step 2: Convert to fraction form
    2,335.42/3,504.52 = 875.62/x
  3. Step 3: Cross multiply
    2,335.42x = 3,504.52 × 875.62
  4. Step 4: Simplify right side
    2,335.42x = 3,068,627.80
  5. Step 5: Solve for x
    x = 3,068,627.80/2,335.42
  6. Step 6: Final answer
    x = 1,313.95

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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.