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Finding the Fourth Proportional to 3,153.42, 4,726.44 and 1,302.24

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Solution

The fourth proportional to 3,153.42, 4,726.44 and 1,302.24 is: 1,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.42 : 4,726.44 = 1,302.24 : x
  2. Step 2: Convert to fraction form
    3,153.42/4,726.44 = 1,302.24/x
  3. Step 3: Cross multiply
    3,153.42x = 4,726.44 × 1,302.24
  4. Step 4: Simplify right side
    3,153.42x = 6,154,959.23
  5. Step 5: Solve for x
    x = 6,154,959.23/3,153.42
  6. Step 6: Final answer
    x = 1,951.84

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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.