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Finding the Fourth Proportional to 2,476.98, 3,715.47 and 746.01

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Solution

The fourth proportional to 2,476.98, 3,715.47 and 746.01 is: 1,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.98 : 3,715.47 = 746.01 : x
  2. Step 2: Convert to fraction form
    2,476.98/3,715.47 = 746.01/x
  3. Step 3: Cross multiply
    2,476.98x = 3,715.47 × 746.01
  4. Step 4: Simplify right side
    2,476.98x = 2,771,777.77
  5. Step 5: Solve for x
    x = 2,771,777.77/2,476.98
  6. Step 6: Final answer
    x = 1,119.02

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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.