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Finding the Fourth Proportional to 2,756.99, 4,136.16 and 1,506.98

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Solution

The fourth proportional to 2,756.99, 4,136.16 and 1,506.98 is: 2,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.99 : 4,136.16 = 1,506.98 : x
  2. Step 2: Convert to fraction form
    2,756.99/4,136.16 = 1,506.98/x
  3. Step 3: Cross multiply
    2,756.99x = 4,136.16 × 1,506.98
  4. Step 4: Simplify right side
    2,756.99x = 6,233,114.76
  5. Step 5: Solve for x
    x = 6,233,114.76/2,756.99
  6. Step 6: Final answer
    x = 2,260.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.