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Finding the Fourth Proportional to 2,967.04, 4,095.04 and 2,084.16

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Solution

The fourth proportional to 2,967.04, 4,095.04 and 2,084.16 is: 2,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.04 : 4,095.04 = 2,084.16 : x
  2. Step 2: Convert to fraction form
    2,967.04/4,095.04 = 2,084.16/x
  3. Step 3: Cross multiply
    2,967.04x = 4,095.04 × 2,084.16
  4. Step 4: Simplify right side
    2,967.04x = 8,534,718.57
  5. Step 5: Solve for x
    x = 8,534,718.57/2,967.04
  6. Step 6: Final answer
    x = 2,876.51

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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.