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Finding the Fourth Proportional to 2,746.02, 4,114.86 and 1,649.16

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Solution

The fourth proportional to 2,746.02, 4,114.86 and 1,649.16 is: 2,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.02 : 4,114.86 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    2,746.02/4,114.86 = 1,649.16/x
  3. Step 3: Cross multiply
    2,746.02x = 4,114.86 × 1,649.16
  4. Step 4: Simplify right side
    2,746.02x = 6,786,062.52
  5. Step 5: Solve for x
    x = 6,786,062.52/2,746.02
  6. Step 6: Final answer
    x = 2,471.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.