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Finding the Fourth Proportional to 4,322.61, 6,480.84 and 1,688.07

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Solution

The fourth proportional to 4,322.61, 6,480.84 and 1,688.07 is: 2,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.61 : 6,480.84 = 1,688.07 : x
  2. Step 2: Convert to fraction form
    4,322.61/6,480.84 = 1,688.07/x
  3. Step 3: Cross multiply
    4,322.61x = 6,480.84 × 1,688.07
  4. Step 4: Simplify right side
    4,322.61x = 10,940,111.58
  5. Step 5: Solve for x
    x = 10,940,111.58/4,322.61
  6. Step 6: Final answer
    x = 2,530.90

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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.