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Finding the Fourth Proportional to 2,547.60, 3,512.39 and 1,649.74

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Solution

The fourth proportional to 2,547.60, 3,512.39 and 1,649.74 is: 2,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.60 : 3,512.39 = 1,649.74 : x
  2. Step 2: Convert to fraction form
    2,547.60/3,512.39 = 1,649.74/x
  3. Step 3: Cross multiply
    2,547.60x = 3,512.39 × 1,649.74
  4. Step 4: Simplify right side
    2,547.60x = 5,794,512.72
  5. Step 5: Solve for x
    x = 5,794,512.72/2,547.60
  6. Step 6: Final answer
    x = 2,274.50

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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.