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Finding the Fourth Proportional to 1,654.10, 2,282.63 and 897.87

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Solution

The fourth proportional to 1,654.10, 2,282.63 and 897.87 is: 1,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.10 : 2,282.63 = 897.87 : x
  2. Step 2: Convert to fraction form
    1,654.10/2,282.63 = 897.87/x
  3. Step 3: Cross multiply
    1,654.10x = 2,282.63 × 897.87
  4. Step 4: Simplify right side
    1,654.10x = 2,049,500.51
  5. Step 5: Solve for x
    x = 2,049,500.51/1,654.10
  6. Step 6: Final answer
    x = 1,239.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.