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Finding the Fourth Proportional to 2,344.47, 3,516.90 and 957.90

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Solution

The fourth proportional to 2,344.47, 3,516.90 and 957.90 is: 1,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.47 : 3,516.90 = 957.90 : x
  2. Step 2: Convert to fraction form
    2,344.47/3,516.90 = 957.90/x
  3. Step 3: Cross multiply
    2,344.47x = 3,516.90 × 957.90
  4. Step 4: Simplify right side
    2,344.47x = 3,368,838.51
  5. Step 5: Solve for x
    x = 3,368,838.51/2,344.47
  6. Step 6: Final answer
    x = 1,436.93

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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.