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Finding the Fourth Proportional to 2,900.98, 4,352.10 and 953.02

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Solution

The fourth proportional to 2,900.98, 4,352.10 and 953.02 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.98 : 4,352.10 = 953.02 : x
  2. Step 2: Convert to fraction form
    2,900.98/4,352.10 = 953.02/x
  3. Step 3: Cross multiply
    2,900.98x = 4,352.10 × 953.02
  4. Step 4: Simplify right side
    2,900.98x = 4,147,638.34
  5. Step 5: Solve for x
    x = 4,147,638.34/2,900.98
  6. Step 6: Final answer
    x = 1,429.74

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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.