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Finding the Fourth Proportional to 3,006.32, 4,509.48 and 1,466

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Solution

The fourth proportional to 3,006.32, 4,509.48 and 1,466 is: 2,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.32 : 4,509.48 = 1,466 : x
  2. Step 2: Convert to fraction form
    3,006.32/4,509.48 = 1,466/x
  3. Step 3: Cross multiply
    3,006.32x = 4,509.48 × 1,466
  4. Step 4: Simplify right side
    3,006.32x = 6,610,897.68
  5. Step 5: Solve for x
    x = 6,610,897.68/3,006.32
  6. Step 6: Final answer
    x = 2,199

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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.