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Finding the Fourth Proportional to 4,530.32, 6,795.80 and 1,607.84

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Solution

The fourth proportional to 4,530.32, 6,795.80 and 1,607.84 is: 2,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.32 : 6,795.80 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    4,530.32/6,795.80 = 1,607.84/x
  3. Step 3: Cross multiply
    4,530.32x = 6,795.80 × 1,607.84
  4. Step 4: Simplify right side
    4,530.32x = 10,926,559.07
  5. Step 5: Solve for x
    x = 10,926,559.07/4,530.32
  6. Step 6: Final answer
    x = 2,411.87

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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.