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Finding the Fourth Proportional to 1,655.85, 2,284.74 and 1,066.30

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Solution

The fourth proportional to 1,655.85, 2,284.74 and 1,066.30 is: 1,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.85 : 2,284.74 = 1,066.30 : x
  2. Step 2: Convert to fraction form
    1,655.85/2,284.74 = 1,066.30/x
  3. Step 3: Cross multiply
    1,655.85x = 2,284.74 × 1,066.30
  4. Step 4: Simplify right side
    1,655.85x = 2,436,218.26
  5. Step 5: Solve for x
    x = 2,436,218.26/1,655.85
  6. Step 6: Final answer
    x = 1,471.28

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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.