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Finding the Fourth Proportional to 3,152.40, 4,725.25 and 1,505.47

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Solution

The fourth proportional to 3,152.40, 4,725.25 and 1,505.47 is: 2,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.40 : 4,725.25 = 1,505.47 : x
  2. Step 2: Convert to fraction form
    3,152.40/4,725.25 = 1,505.47/x
  3. Step 3: Cross multiply
    3,152.40x = 4,725.25 × 1,505.47
  4. Step 4: Simplify right side
    3,152.40x = 7,113,722.12
  5. Step 5: Solve for x
    x = 7,113,722.12/3,152.40
  6. Step 6: Final answer
    x = 2,256.61

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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.