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Finding the Fourth Proportional to 2,882.36, 4,322.63 and 934.16

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Solution

The fourth proportional to 2,882.36, 4,322.63 and 934.16 is: 1,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.36 : 4,322.63 = 934.16 : x
  2. Step 2: Convert to fraction form
    2,882.36/4,322.63 = 934.16/x
  3. Step 3: Cross multiply
    2,882.36x = 4,322.63 × 934.16
  4. Step 4: Simplify right side
    2,882.36x = 4,038,001.76
  5. Step 5: Solve for x
    x = 4,038,001.76/2,882.36
  6. Step 6: Final answer
    x = 1,400.94

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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.