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Finding the Fourth Proportional to 3,065.64, 4,597.30 and 1,310.57

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Solution

The fourth proportional to 3,065.64, 4,597.30 and 1,310.57 is: 1,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.64 : 4,597.30 = 1,310.57 : x
  2. Step 2: Convert to fraction form
    3,065.64/4,597.30 = 1,310.57/x
  3. Step 3: Cross multiply
    3,065.64x = 4,597.30 × 1,310.57
  4. Step 4: Simplify right side
    3,065.64x = 6,025,083.46
  5. Step 5: Solve for x
    x = 6,025,083.46/3,065.64
  6. Step 6: Final answer
    x = 1,965.36

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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.