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Finding the Fourth Proportional to 1,561.74, 2,155.16 and 863.10

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Solution

The fourth proportional to 1,561.74, 2,155.16 and 863.10 is: 1,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.74 : 2,155.16 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,561.74/2,155.16 = 863.10/x
  3. Step 3: Cross multiply
    1,561.74x = 2,155.16 × 863.10
  4. Step 4: Simplify right side
    1,561.74x = 1,860,118.60
  5. Step 5: Solve for x
    x = 1,860,118.60/1,561.74
  6. Step 6: Final answer
    x = 1,191.06

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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.