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Finding the Fourth Proportional to 1,370.12, 1,903.50 and 1,353.71

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Solution

The fourth proportional to 1,370.12, 1,903.50 and 1,353.71 is: 1,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.12 : 1,903.50 = 1,353.71 : x
  2. Step 2: Convert to fraction form
    1,370.12/1,903.50 = 1,353.71/x
  3. Step 3: Cross multiply
    1,370.12x = 1,903.50 × 1,353.71
  4. Step 4: Simplify right side
    1,370.12x = 2,576,777.47
  5. Step 5: Solve for x
    x = 2,576,777.47/1,370.12
  6. Step 6: Final answer
    x = 1,880.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.