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Finding the Fourth Proportional to 3,125.70, 4,688.54 and 1,276.40

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Solution

The fourth proportional to 3,125.70, 4,688.54 and 1,276.40 is: 1,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.70 : 4,688.54 = 1,276.40 : x
  2. Step 2: Convert to fraction form
    3,125.70/4,688.54 = 1,276.40/x
  3. Step 3: Cross multiply
    3,125.70x = 4,688.54 × 1,276.40
  4. Step 4: Simplify right side
    3,125.70x = 5,984,467.37
  5. Step 5: Solve for x
    x = 5,984,467.37/3,125.70
  6. Step 6: Final answer
    x = 1,914.60

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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.