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Finding the Fourth Proportional to 2,341.50, 3,509.24 and 953.22

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Solution

The fourth proportional to 2,341.50, 3,509.24 and 953.22 is: 1,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.50 : 3,509.24 = 953.22 : x
  2. Step 2: Convert to fraction form
    2,341.50/3,509.24 = 953.22/x
  3. Step 3: Cross multiply
    2,341.50x = 3,509.24 × 953.22
  4. Step 4: Simplify right side
    2,341.50x = 3,345,077.75
  5. Step 5: Solve for x
    x = 3,345,077.75/2,341.50
  6. Step 6: Final answer
    x = 1,428.60

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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.