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Finding the Fourth Proportional to 1,744.19, 2,407.01 and 958.23

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Solution

The fourth proportional to 1,744.19, 2,407.01 and 958.23 is: 1,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.19 : 2,407.01 = 958.23 : x
  2. Step 2: Convert to fraction form
    1,744.19/2,407.01 = 958.23/x
  3. Step 3: Cross multiply
    1,744.19x = 2,407.01 × 958.23
  4. Step 4: Simplify right side
    1,744.19x = 2,306,457.16
  5. Step 5: Solve for x
    x = 2,306,457.16/1,744.19
  6. Step 6: Final answer
    x = 1,322.37

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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.