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Finding the Fourth Proportional to 2,476.94, 3,715.37 and 602.84

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Solution

The fourth proportional to 2,476.94, 3,715.37 and 602.84 is: 904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.94 : 3,715.37 = 602.84 : x
  2. Step 2: Convert to fraction form
    2,476.94/3,715.37 = 602.84/x
  3. Step 3: Cross multiply
    2,476.94x = 3,715.37 × 602.84
  4. Step 4: Simplify right side
    2,476.94x = 2,239,765.99
  5. Step 5: Solve for x
    x = 2,239,765.99/2,476.94
  6. Step 6: Final answer
    x = 904.25

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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.