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Finding the Fourth Proportional to 2,854.50, 4,283.64 and 1,315.50

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Solution

The fourth proportional to 2,854.50, 4,283.64 and 1,315.50 is: 1,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.50 : 4,283.64 = 1,315.50 : x
  2. Step 2: Convert to fraction form
    2,854.50/4,283.64 = 1,315.50/x
  3. Step 3: Cross multiply
    2,854.50x = 4,283.64 × 1,315.50
  4. Step 4: Simplify right side
    2,854.50x = 5,635,128.42
  5. Step 5: Solve for x
    x = 5,635,128.42/2,854.50
  6. Step 6: Final answer
    x = 1,974.12

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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.