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Finding the Fourth Proportional to 2,370.74, 3,271.68 and 1,308.53

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Solution

The fourth proportional to 2,370.74, 3,271.68 and 1,308.53 is: 1,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.74 : 3,271.68 = 1,308.53 : x
  2. Step 2: Convert to fraction form
    2,370.74/3,271.68 = 1,308.53/x
  3. Step 3: Cross multiply
    2,370.74x = 3,271.68 × 1,308.53
  4. Step 4: Simplify right side
    2,370.74x = 4,281,099.61
  5. Step 5: Solve for x
    x = 4,281,099.61/2,370.74
  6. Step 6: Final answer
    x = 1,805.81

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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.