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Finding the Fourth Proportional to 3,004.29, 4,506.87 and 924.47

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Solution

The fourth proportional to 3,004.29, 4,506.87 and 924.47 is: 1,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.29 : 4,506.87 = 924.47 : x
  2. Step 2: Convert to fraction form
    3,004.29/4,506.87 = 924.47/x
  3. Step 3: Cross multiply
    3,004.29x = 4,506.87 × 924.47
  4. Step 4: Simplify right side
    3,004.29x = 4,166,466.11
  5. Step 5: Solve for x
    x = 4,166,466.11/3,004.29
  6. Step 6: Final answer
    x = 1,386.84

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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.