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Finding the Fourth Proportional to 4,465.94, 6,699.23 and 1,179

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Solution

The fourth proportional to 4,465.94, 6,699.23 and 1,179 is: 1,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.94 : 6,699.23 = 1,179 : x
  2. Step 2: Convert to fraction form
    4,465.94/6,699.23 = 1,179/x
  3. Step 3: Cross multiply
    4,465.94x = 6,699.23 × 1,179
  4. Step 4: Simplify right side
    4,465.94x = 7,898,386.28
  5. Step 5: Solve for x
    x = 7,898,386.28/4,465.94
  6. Step 6: Final answer
    x = 1,768.59

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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.