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Finding the Fourth Proportional to 4,566, 6,849 and 1,488

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Solution

The fourth proportional to 4,566, 6,849 and 1,488 is: 2,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 6,849 = 1,488 : x
  2. Step 2: Convert to fraction form
    4,566/6,849 = 1,488/x
  3. Step 3: Cross multiply
    4,566x = 6,849 × 1,488
  4. Step 4: Simplify right side
    4,566x = 10,191,312
  5. Step 5: Solve for x
    x = 10,191,312/4,566
  6. Step 6: Final answer
    x = 2,232

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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.