Home / 2,005.84-2,768.10-1,121.63

Finding the Fourth Proportional to 2,005.84, 2,768.10 and 1,121.63

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Solution

The fourth proportional to 2,005.84, 2,768.10 and 1,121.63 is: 1,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.84 : 2,768.10 = 1,121.63 : x
  2. Step 2: Convert to fraction form
    2,005.84/2,768.10 = 1,121.63/x
  3. Step 3: Cross multiply
    2,005.84x = 2,768.10 × 1,121.63
  4. Step 4: Simplify right side
    2,005.84x = 3,104,784.00
  5. Step 5: Solve for x
    x = 3,104,784.00/2,005.84
  6. Step 6: Final answer
    x = 1,547.88

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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.