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Finding the Fourth Proportional to 1,504.26, 2,253.14 and 955.08

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Solution

The fourth proportional to 1,504.26, 2,253.14 and 955.08 is: 1,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.26 : 2,253.14 = 955.08 : x
  2. Step 2: Convert to fraction form
    1,504.26/2,253.14 = 955.08/x
  3. Step 3: Cross multiply
    1,504.26x = 2,253.14 × 955.08
  4. Step 4: Simplify right side
    1,504.26x = 2,151,928.95
  5. Step 5: Solve for x
    x = 2,151,928.95/1,504.26
  6. Step 6: Final answer
    x = 1,430.56

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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.