Home / 2,292.84-3,164.13-1,409.49

Finding the Fourth Proportional to 2,292.84, 3,164.13 and 1,409.49

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Solution

The fourth proportional to 2,292.84, 3,164.13 and 1,409.49 is: 1,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.84 : 3,164.13 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    2,292.84/3,164.13 = 1,409.49/x
  3. Step 3: Cross multiply
    2,292.84x = 3,164.13 × 1,409.49
  4. Step 4: Simplify right side
    2,292.84x = 4,459,809.59
  5. Step 5: Solve for x
    x = 4,459,809.59/2,292.84
  6. Step 6: Final answer
    x = 1,945.10

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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.