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Finding the Fourth Proportional to 2,547.84, 3,512.73 and 1,649.99

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Solution

The fourth proportional to 2,547.84, 3,512.73 and 1,649.99 is: 2,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.84 : 3,512.73 = 1,649.99 : x
  2. Step 2: Convert to fraction form
    2,547.84/3,512.73 = 1,649.99/x
  3. Step 3: Cross multiply
    2,547.84x = 3,512.73 × 1,649.99
  4. Step 4: Simplify right side
    2,547.84x = 5,795,951.81
  5. Step 5: Solve for x
    x = 5,795,951.81/2,547.84
  6. Step 6: Final answer
    x = 2,274.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.