Home / 1,664.24-2,296.67-918.20

Finding the Fourth Proportional to 1,664.24, 2,296.67 and 918.20

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Solution

The fourth proportional to 1,664.24, 2,296.67 and 918.20 is: 1,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.24 : 2,296.67 = 918.20 : x
  2. Step 2: Convert to fraction form
    1,664.24/2,296.67 = 918.20/x
  3. Step 3: Cross multiply
    1,664.24x = 2,296.67 × 918.20
  4. Step 4: Simplify right side
    1,664.24x = 2,108,803.54
  5. Step 5: Solve for x
    x = 2,108,803.54/1,664.24
  6. Step 6: Final answer
    x = 1,267.13

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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.