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Finding the Fourth Proportional to 2,102.41, 2,898.29 and 1,470.98

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Solution

The fourth proportional to 2,102.41, 2,898.29 and 1,470.98 is: 2,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.41 : 2,898.29 = 1,470.98 : x
  2. Step 2: Convert to fraction form
    2,102.41/2,898.29 = 1,470.98/x
  3. Step 3: Cross multiply
    2,102.41x = 2,898.29 × 1,470.98
  4. Step 4: Simplify right side
    2,102.41x = 4,263,321.16
  5. Step 5: Solve for x
    x = 4,263,321.16/2,102.41
  6. Step 6: Final answer
    x = 2,027.83

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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.