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Finding the Fourth Proportional to 1,655.64, 2,282.94 and 1,065.36

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Solution

The fourth proportional to 1,655.64, 2,282.94 and 1,065.36 is: 1,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.64 : 2,282.94 = 1,065.36 : x
  2. Step 2: Convert to fraction form
    1,655.64/2,282.94 = 1,065.36/x
  3. Step 3: Cross multiply
    1,655.64x = 2,282.94 × 1,065.36
  4. Step 4: Simplify right side
    1,655.64x = 2,432,152.96
  5. Step 5: Solve for x
    x = 2,432,152.96/1,655.64
  6. Step 6: Final answer
    x = 1,469.01

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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.