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Finding the Fourth Proportional to 2,649.48, 3,656.29 and 1,470.77

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Solution

The fourth proportional to 2,649.48, 3,656.29 and 1,470.77 is: 2,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.48 : 3,656.29 = 1,470.77 : x
  2. Step 2: Convert to fraction form
    2,649.48/3,656.29 = 1,470.77/x
  3. Step 3: Cross multiply
    2,649.48x = 3,656.29 × 1,470.77
  4. Step 4: Simplify right side
    2,649.48x = 5,377,576.72
  5. Step 5: Solve for x
    x = 5,377,576.72/2,649.48
  6. Step 6: Final answer
    x = 2,029.68

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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.