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Finding the Fourth Proportional to 2,642.51, 3,646.53 and 1,447.48

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Solution

The fourth proportional to 2,642.51, 3,646.53 and 1,447.48 is: 1,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.51 : 3,646.53 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    2,642.51/3,646.53 = 1,447.48/x
  3. Step 3: Cross multiply
    2,642.51x = 3,646.53 × 1,447.48
  4. Step 4: Simplify right side
    2,642.51x = 5,278,279.24
  5. Step 5: Solve for x
    x = 5,278,279.24/2,642.51
  6. Step 6: Final answer
    x = 1,997.45

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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.