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Finding the Fourth Proportional to 2,377.32, 3,566.07 and 645.93

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Solution

The fourth proportional to 2,377.32, 3,566.07 and 645.93 is: 968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.32 : 3,566.07 = 645.93 : x
  2. Step 2: Convert to fraction form
    2,377.32/3,566.07 = 645.93/x
  3. Step 3: Cross multiply
    2,377.32x = 3,566.07 × 645.93
  4. Step 4: Simplify right side
    2,377.32x = 2,303,431.60
  5. Step 5: Solve for x
    x = 2,303,431.60/2,377.32
  6. Step 6: Final answer
    x = 968.92

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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.