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Finding the Fourth Proportional to 2,407.74, 3,321.63 and 1,411.26

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Solution

The fourth proportional to 2,407.74, 3,321.63 and 1,411.26 is: 1,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.74 : 3,321.63 = 1,411.26 : x
  2. Step 2: Convert to fraction form
    2,407.74/3,321.63 = 1,411.26/x
  3. Step 3: Cross multiply
    2,407.74x = 3,321.63 × 1,411.26
  4. Step 4: Simplify right side
    2,407.74x = 4,687,683.55
  5. Step 5: Solve for x
    x = 4,687,683.55/2,407.74
  6. Step 6: Final answer
    x = 1,946.92

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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.