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Finding the Fourth Proportional to 2,113.71, 2,916.90 and 1,182.21

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Solution

The fourth proportional to 2,113.71, 2,916.90 and 1,182.21 is: 1,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.71 : 2,916.90 = 1,182.21 : x
  2. Step 2: Convert to fraction form
    2,113.71/2,916.90 = 1,182.21/x
  3. Step 3: Cross multiply
    2,113.71x = 2,916.90 × 1,182.21
  4. Step 4: Simplify right side
    2,113.71x = 3,448,388.35
  5. Step 5: Solve for x
    x = 3,448,388.35/2,113.71
  6. Step 6: Final answer
    x = 1,631.44

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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.