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Finding the Fourth Proportional to 2,308.98, 3,187.46 and 1,470.83

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Solution

The fourth proportional to 2,308.98, 3,187.46 and 1,470.83 is: 2,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.98 : 3,187.46 = 1,470.83 : x
  2. Step 2: Convert to fraction form
    2,308.98/3,187.46 = 1,470.83/x
  3. Step 3: Cross multiply
    2,308.98x = 3,187.46 × 1,470.83
  4. Step 4: Simplify right side
    2,308.98x = 4,688,223.44
  5. Step 5: Solve for x
    x = 4,688,223.44/2,308.98
  6. Step 6: Final answer
    x = 2,030.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.