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Finding the Fourth Proportional to 2,649.56, 3,656.10 and 1,470.50

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Solution

The fourth proportional to 2,649.56, 3,656.10 and 1,470.50 is: 2,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.56 : 3,656.10 = 1,470.50 : x
  2. Step 2: Convert to fraction form
    2,649.56/3,656.10 = 1,470.50/x
  3. Step 3: Cross multiply
    2,649.56x = 3,656.10 × 1,470.50
  4. Step 4: Simplify right side
    2,649.56x = 5,376,295.05
  5. Step 5: Solve for x
    x = 5,376,295.05/2,649.56
  6. Step 6: Final answer
    x = 2,029.13

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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.