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Finding the Fourth Proportional to 2,878.92, 4,283.82 and 2,869.20

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Solution

The fourth proportional to 2,878.92, 4,283.82 and 2,869.20 is: 4,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.92 : 4,283.82 = 2,869.20 : x
  2. Step 2: Convert to fraction form
    2,878.92/4,283.82 = 2,869.20/x
  3. Step 3: Cross multiply
    2,878.92x = 4,283.82 × 2,869.20
  4. Step 4: Simplify right side
    2,878.92x = 12,291,136.34
  5. Step 5: Solve for x
    x = 12,291,136.34/2,878.92
  6. Step 6: Final answer
    x = 4,269.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.