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Finding the Fourth Proportional to 2,316.16, 3,473.92 and 776.96

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Solution

The fourth proportional to 2,316.16, 3,473.92 and 776.96 is: 1,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.16 : 3,473.92 = 776.96 : x
  2. Step 2: Convert to fraction form
    2,316.16/3,473.92 = 776.96/x
  3. Step 3: Cross multiply
    2,316.16x = 3,473.92 × 776.96
  4. Step 4: Simplify right side
    2,316.16x = 2,699,096.88
  5. Step 5: Solve for x
    x = 2,699,096.88/2,316.16
  6. Step 6: Final answer
    x = 1,165.33

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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.