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Finding the Fourth Proportional to 3,069.24, 4,602.99 and 877.38

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Solution

The fourth proportional to 3,069.24, 4,602.99 and 877.38 is: 1,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.24 : 4,602.99 = 877.38 : x
  2. Step 2: Convert to fraction form
    3,069.24/4,602.99 = 877.38/x
  3. Step 3: Cross multiply
    3,069.24x = 4,602.99 × 877.38
  4. Step 4: Simplify right side
    3,069.24x = 4,038,571.37
  5. Step 5: Solve for x
    x = 4,038,571.37/3,069.24
  6. Step 6: Final answer
    x = 1,315.82

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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.