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Finding the Fourth Proportional to 1,864.01, 2,795.72 and 547.46

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Solution

The fourth proportional to 1,864.01, 2,795.72 and 547.46 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.01 : 2,795.72 = 547.46 : x
  2. Step 2: Convert to fraction form
    1,864.01/2,795.72 = 547.46/x
  3. Step 3: Cross multiply
    1,864.01x = 2,795.72 × 547.46
  4. Step 4: Simplify right side
    1,864.01x = 1,530,528.16
  5. Step 5: Solve for x
    x = 1,530,528.16/1,864.01
  6. Step 6: Final answer
    x = 821.10

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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.