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Finding the Fourth Proportional to 1,561.61, 2,154.35 and 940.25

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Solution

The fourth proportional to 1,561.61, 2,154.35 and 940.25 is: 1,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.61 : 2,154.35 = 940.25 : x
  2. Step 2: Convert to fraction form
    1,561.61/2,154.35 = 940.25/x
  3. Step 3: Cross multiply
    1,561.61x = 2,154.35 × 940.25
  4. Step 4: Simplify right side
    1,561.61x = 2,025,622.89
  5. Step 5: Solve for x
    x = 2,025,622.89/1,561.61
  6. Step 6: Final answer
    x = 1,297.14

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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.