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Finding the Fourth Proportional to 4,305.40, 6,458.51 and 1,708

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Solution

The fourth proportional to 4,305.40, 6,458.51 and 1,708 is: 2,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.40 : 6,458.51 = 1,708 : x
  2. Step 2: Convert to fraction form
    4,305.40/6,458.51 = 1,708/x
  3. Step 3: Cross multiply
    4,305.40x = 6,458.51 × 1,708
  4. Step 4: Simplify right side
    4,305.40x = 11,031,126.54
  5. Step 5: Solve for x
    x = 11,031,126.54/4,305.40
  6. Step 6: Final answer
    x = 2,562.16

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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.