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Finding the Fourth Proportional to 3,004, 4,506 and 952

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Solution

The fourth proportional to 3,004, 4,506 and 952 is: 1,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004 : 4,506 = 952 : x
  2. Step 2: Convert to fraction form
    3,004/4,506 = 952/x
  3. Step 3: Cross multiply
    3,004x = 4,506 × 952
  4. Step 4: Simplify right side
    3,004x = 4,289,712
  5. Step 5: Solve for x
    x = 4,289,712/3,004
  6. Step 6: Final answer
    x = 1,428

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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.