Home / 2,001.56-2,996.24-1,564.16

Finding the Fourth Proportional to 2,001.56, 2,996.24 and 1,564.16

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Solution

The fourth proportional to 2,001.56, 2,996.24 and 1,564.16 is: 2,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.56 : 2,996.24 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    2,001.56/2,996.24 = 1,564.16/x
  3. Step 3: Cross multiply
    2,001.56x = 2,996.24 × 1,564.16
  4. Step 4: Simplify right side
    2,001.56x = 4,686,575.96
  5. Step 5: Solve for x
    x = 4,686,575.96/2,001.56
  6. Step 6: Final answer
    x = 2,341.47

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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.