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Finding the Fourth Proportional to 2,283.66, 3,426.53 and 967.77

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Solution

The fourth proportional to 2,283.66, 3,426.53 and 967.77 is: 1,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.66 : 3,426.53 = 967.77 : x
  2. Step 2: Convert to fraction form
    2,283.66/3,426.53 = 967.77/x
  3. Step 3: Cross multiply
    2,283.66x = 3,426.53 × 967.77
  4. Step 4: Simplify right side
    2,283.66x = 3,316,088.10
  5. Step 5: Solve for x
    x = 3,316,088.10/2,283.66
  6. Step 6: Final answer
    x = 1,452.09

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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.