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Finding the Fourth Proportional to 2,982.16, 4,111 and 2,095.16

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Solution

The fourth proportional to 2,982.16, 4,111 and 2,095.16 is: 2,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.16 : 4,111 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    2,982.16/4,111 = 2,095.16/x
  3. Step 3: Cross multiply
    2,982.16x = 4,111 × 2,095.16
  4. Step 4: Simplify right side
    2,982.16x = 8,613,202.76
  5. Step 5: Solve for x
    x = 8,613,202.76/2,982.16
  6. Step 6: Final answer
    x = 2,888.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.