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Finding the Fourth Proportional to 2,377.83, 3,566.74 and 2,233.32

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Solution

The fourth proportional to 2,377.83, 3,566.74 and 2,233.32 is: 3,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.83 : 3,566.74 = 2,233.32 : x
  2. Step 2: Convert to fraction form
    2,377.83/3,566.74 = 2,233.32/x
  3. Step 3: Cross multiply
    2,377.83x = 3,566.74 × 2,233.32
  4. Step 4: Simplify right side
    2,377.83x = 7,965,683.35
  5. Step 5: Solve for x
    x = 7,965,683.35/2,377.83
  6. Step 6: Final answer
    x = 3,349.98

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1.5x scale

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.