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Finding the Fourth Proportional to 2,643.51, 3,648.44 and 1,649.10

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Solution

The fourth proportional to 2,643.51, 3,648.44 and 1,649.10 is: 2,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.51 : 3,648.44 = 1,649.10 : x
  2. Step 2: Convert to fraction form
    2,643.51/3,648.44 = 1,649.10/x
  3. Step 3: Cross multiply
    2,643.51x = 3,648.44 × 1,649.10
  4. Step 4: Simplify right side
    2,643.51x = 6,016,642.40
  5. Step 5: Solve for x
    x = 6,016,642.40/2,643.51
  6. Step 6: Final answer
    x = 2,276.01

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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.