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Finding the Fourth Proportional to 1,504.60, 2,259.30 and 1,096.60

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Solution

The fourth proportional to 1,504.60, 2,259.30 and 1,096.60 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.60 : 2,259.30 = 1,096.60 : x
  2. Step 2: Convert to fraction form
    1,504.60/2,259.30 = 1,096.60/x
  3. Step 3: Cross multiply
    1,504.60x = 2,259.30 × 1,096.60
  4. Step 4: Simplify right side
    1,504.60x = 2,477,548.38
  5. Step 5: Solve for x
    x = 2,477,548.38/1,504.60
  6. Step 6: Final answer
    x = 1,646.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.