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Finding the Fourth Proportional to 2,377.36, 3,566.04 and 645.98

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Solution

The fourth proportional to 2,377.36, 3,566.04 and 645.98 is: 968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.36 : 3,566.04 = 645.98 : x
  2. Step 2: Convert to fraction form
    2,377.36/3,566.04 = 645.98/x
  3. Step 3: Cross multiply
    2,377.36x = 3,566.04 × 645.98
  4. Step 4: Simplify right side
    2,377.36x = 2,303,590.52
  5. Step 5: Solve for x
    x = 2,303,590.52/2,377.36
  6. Step 6: Final answer
    x = 968.97

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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.