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Finding the Fourth Proportional to 1,561.76, 2,156.64 and 1,211.84

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Solution

The fourth proportional to 1,561.76, 2,156.64 and 1,211.84 is: 1,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.76 : 2,156.64 = 1,211.84 : x
  2. Step 2: Convert to fraction form
    1,561.76/2,156.64 = 1,211.84/x
  3. Step 3: Cross multiply
    1,561.76x = 2,156.64 × 1,211.84
  4. Step 4: Simplify right side
    1,561.76x = 2,613,502.62
  5. Step 5: Solve for x
    x = 2,613,502.62/1,561.76
  6. Step 6: Final answer
    x = 1,673.43

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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.