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Finding the Fourth Proportional to 2,649.48, 3,656.12 and 1,470.48

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Solution

The fourth proportional to 2,649.48, 3,656.12 and 1,470.48 is: 2,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.48 : 3,656.12 = 1,470.48 : x
  2. Step 2: Convert to fraction form
    2,649.48/3,656.12 = 1,470.48/x
  3. Step 3: Cross multiply
    2,649.48x = 3,656.12 × 1,470.48
  4. Step 4: Simplify right side
    2,649.48x = 5,376,251.34
  5. Step 5: Solve for x
    x = 5,376,251.34/2,649.48
  6. Step 6: Final answer
    x = 2,029.17

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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.