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Finding the Fourth Proportional to 2,407.40, 3,319.13 and 1,974.63

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Solution

The fourth proportional to 2,407.40, 3,319.13 and 1,974.63 is: 2,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.40 : 3,319.13 = 1,974.63 : x
  2. Step 2: Convert to fraction form
    2,407.40/3,319.13 = 1,974.63/x
  3. Step 3: Cross multiply
    2,407.40x = 3,319.13 × 1,974.63
  4. Step 4: Simplify right side
    2,407.40x = 6,554,043.80
  5. Step 5: Solve for x
    x = 6,554,043.80/2,407.40
  6. Step 6: Final answer
    x = 2,722.46

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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.