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Finding the Fourth Proportional to 2,365.25, 3,546.65 and 1,270.53

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Solution

The fourth proportional to 2,365.25, 3,546.65 and 1,270.53 is: 1,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.25 : 3,546.65 = 1,270.53 : x
  2. Step 2: Convert to fraction form
    2,365.25/3,546.65 = 1,270.53/x
  3. Step 3: Cross multiply
    2,365.25x = 3,546.65 × 1,270.53
  4. Step 4: Simplify right side
    2,365.25x = 4,506,128.40
  5. Step 5: Solve for x
    x = 4,506,128.40/2,365.25
  6. Step 6: Final answer
    x = 1,905.14

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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.