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Finding the Fourth Proportional to 2,136.66, 2,946.21 and 1,752.23

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Solution

The fourth proportional to 2,136.66, 2,946.21 and 1,752.23 is: 2,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.66 : 2,946.21 = 1,752.23 : x
  2. Step 2: Convert to fraction form
    2,136.66/2,946.21 = 1,752.23/x
  3. Step 3: Cross multiply
    2,136.66x = 2,946.21 × 1,752.23
  4. Step 4: Simplify right side
    2,136.66x = 5,162,437.55
  5. Step 5: Solve for x
    x = 5,162,437.55/2,136.66
  6. Step 6: Final answer
    x = 2,416.12

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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.