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Finding the Fourth Proportional to 1,655.36, 2,284.08 and 1,131.20

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Solution

The fourth proportional to 1,655.36, 2,284.08 and 1,131.20 is: 1,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.36 : 2,284.08 = 1,131.20 : x
  2. Step 2: Convert to fraction form
    1,655.36/2,284.08 = 1,131.20/x
  3. Step 3: Cross multiply
    1,655.36x = 2,284.08 × 1,131.20
  4. Step 4: Simplify right side
    1,655.36x = 2,583,751.30
  5. Step 5: Solve for x
    x = 2,583,751.30/1,655.36
  6. Step 6: Final answer
    x = 1,560.84

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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.