Home / 1,461.08-2,188.14-810.20

Finding the Fourth Proportional to 1,461.08, 2,188.14 and 810.20

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Solution

The fourth proportional to 1,461.08, 2,188.14 and 810.20 is: 1,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,188.14 = 810.20 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,188.14 = 810.20/x
  3. Step 3: Cross multiply
    1,461.08x = 2,188.14 × 810.20
  4. Step 4: Simplify right side
    1,461.08x = 1,772,831.03
  5. Step 5: Solve for x
    x = 1,772,831.03/1,461.08
  6. Step 6: Final answer
    x = 1,213.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.