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Finding the Fourth Proportional to 1,470.86, 2,029.10 and 849.50

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Solution

The fourth proportional to 1,470.86, 2,029.10 and 849.50 is: 1,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.86 : 2,029.10 = 849.50 : x
  2. Step 2: Convert to fraction form
    1,470.86/2,029.10 = 849.50/x
  3. Step 3: Cross multiply
    1,470.86x = 2,029.10 × 849.50
  4. Step 4: Simplify right side
    1,470.86x = 1,723,720.45
  5. Step 5: Solve for x
    x = 1,723,720.45/1,470.86
  6. Step 6: Final answer
    x = 1,171.91

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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.