Home / 1,589.08-2,192.98-926.16

Finding the Fourth Proportional to 1,589.08, 2,192.98 and 926.16

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Solution

The fourth proportional to 1,589.08, 2,192.98 and 926.16 is: 1,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.08 : 2,192.98 = 926.16 : x
  2. Step 2: Convert to fraction form
    1,589.08/2,192.98 = 926.16/x
  3. Step 3: Cross multiply
    1,589.08x = 2,192.98 × 926.16
  4. Step 4: Simplify right side
    1,589.08x = 2,031,050.36
  5. Step 5: Solve for x
    x = 2,031,050.36/1,589.08
  6. Step 6: Final answer
    x = 1,278.13

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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.