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Finding the Fourth Proportional to 2,365.08, 3,548.52 and 904.56

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Solution

The fourth proportional to 2,365.08, 3,548.52 and 904.56 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.08 : 3,548.52 = 904.56 : x
  2. Step 2: Convert to fraction form
    2,365.08/3,548.52 = 904.56/x
  3. Step 3: Cross multiply
    2,365.08x = 3,548.52 × 904.56
  4. Step 4: Simplify right side
    2,365.08x = 3,209,849.25
  5. Step 5: Solve for x
    x = 3,209,849.25/2,365.08
  6. Step 6: Final answer
    x = 1,357.18

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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.