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Finding the Fourth Proportional to 2,407.01, 3,322.17 and 1,412.51

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Solution

The fourth proportional to 2,407.01, 3,322.17 and 1,412.51 is: 1,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.01 : 3,322.17 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    2,407.01/3,322.17 = 1,412.51/x
  3. Step 3: Cross multiply
    2,407.01x = 3,322.17 × 1,412.51
  4. Step 4: Simplify right side
    2,407.01x = 4,692,581.74
  5. Step 5: Solve for x
    x = 4,692,581.74/2,407.01
  6. Step 6: Final answer
    x = 1,949.55

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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.