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Finding the Fourth Proportional to 2,341.63, 3,509.42 and 953.36

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Solution

The fourth proportional to 2,341.63, 3,509.42 and 953.36 is: 1,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.63 : 3,509.42 = 953.36 : x
  2. Step 2: Convert to fraction form
    2,341.63/3,509.42 = 953.36/x
  3. Step 3: Cross multiply
    2,341.63x = 3,509.42 × 953.36
  4. Step 4: Simplify right side
    2,341.63x = 3,345,740.65
  5. Step 5: Solve for x
    x = 3,345,740.65/2,341.63
  6. Step 6: Final answer
    x = 1,428.81

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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.