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Finding the Fourth Proportional to 2,967.95, 4,095.83 and 1,921.83

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Solution

The fourth proportional to 2,967.95, 4,095.83 and 1,921.83 is: 2,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.95 : 4,095.83 = 1,921.83 : x
  2. Step 2: Convert to fraction form
    2,967.95/4,095.83 = 1,921.83/x
  3. Step 3: Cross multiply
    2,967.95x = 4,095.83 × 1,921.83
  4. Step 4: Simplify right side
    2,967.95x = 7,871,479.36
  5. Step 5: Solve for x
    x = 7,871,479.36/2,967.95
  6. Step 6: Final answer
    x = 2,652.16

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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.