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Finding the Fourth Proportional to 2,379.54, 3,568.88 and 647.76

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Solution

The fourth proportional to 2,379.54, 3,568.88 and 647.76 is: 971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.54 : 3,568.88 = 647.76 : x
  2. Step 2: Convert to fraction form
    2,379.54/3,568.88 = 647.76/x
  3. Step 3: Cross multiply
    2,379.54x = 3,568.88 × 647.76
  4. Step 4: Simplify right side
    2,379.54x = 2,311,777.71
  5. Step 5: Solve for x
    x = 2,311,777.71/2,379.54
  6. Step 6: Final answer
    x = 971.52

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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.