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Finding the Fourth Proportional to 1,655.54, 2,283.07 and 1,261.88

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Solution

The fourth proportional to 1,655.54, 2,283.07 and 1,261.88 is: 1,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.54 : 2,283.07 = 1,261.88 : x
  2. Step 2: Convert to fraction form
    1,655.54/2,283.07 = 1,261.88/x
  3. Step 3: Cross multiply
    1,655.54x = 2,283.07 × 1,261.88
  4. Step 4: Simplify right side
    1,655.54x = 2,880,942.65
  5. Step 5: Solve for x
    x = 2,880,942.65/1,655.54
  6. Step 6: Final answer
    x = 1,740.19

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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.