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Finding the Fourth Proportional to 3,145.48, 4,718.88 and 1,296.58

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Solution

The fourth proportional to 3,145.48, 4,718.88 and 1,296.58 is: 1,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.48 : 4,718.88 = 1,296.58 : x
  2. Step 2: Convert to fraction form
    3,145.48/4,718.88 = 1,296.58/x
  3. Step 3: Cross multiply
    3,145.48x = 4,718.88 × 1,296.58
  4. Step 4: Simplify right side
    3,145.48x = 6,118,375.35
  5. Step 5: Solve for x
    x = 6,118,375.35/3,145.48
  6. Step 6: Final answer
    x = 1,945.14

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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.