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Finding the Fourth Proportional to 4,641.68, 6,962.63 and 1,178.93

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Solution

The fourth proportional to 4,641.68, 6,962.63 and 1,178.93 is: 1,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.68 : 6,962.63 = 1,178.93 : x
  2. Step 2: Convert to fraction form
    4,641.68/6,962.63 = 1,178.93/x
  3. Step 3: Cross multiply
    4,641.68x = 6,962.63 × 1,178.93
  4. Step 4: Simplify right side
    4,641.68x = 8,208,455.26
  5. Step 5: Solve for x
    x = 8,208,455.26/4,641.68
  6. Step 6: Final answer
    x = 1,768.42

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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.