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Finding the Fourth Proportional to 4,302.64, 6,454.91 and 1,705.51

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Solution

The fourth proportional to 4,302.64, 6,454.91 and 1,705.51 is: 2,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.64 : 6,454.91 = 1,705.51 : x
  2. Step 2: Convert to fraction form
    4,302.64/6,454.91 = 1,705.51/x
  3. Step 3: Cross multiply
    4,302.64x = 6,454.91 × 1,705.51
  4. Step 4: Simplify right side
    4,302.64x = 11,008,913.55
  5. Step 5: Solve for x
    x = 11,008,913.55/4,302.64
  6. Step 6: Final answer
    x = 2,558.64

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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.