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Finding the Fourth Proportional to 2,247.48, 3,368.86 and 785.53

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Solution

The fourth proportional to 2,247.48, 3,368.86 and 785.53 is: 1,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.48 : 3,368.86 = 785.53 : x
  2. Step 2: Convert to fraction form
    2,247.48/3,368.86 = 785.53/x
  3. Step 3: Cross multiply
    2,247.48x = 3,368.86 × 785.53
  4. Step 4: Simplify right side
    2,247.48x = 2,646,342.84
  5. Step 5: Solve for x
    x = 2,646,342.84/2,247.48
  6. Step 6: Final answer
    x = 1,177.47

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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.