Home / 1,552.68-2,142.06-923.16

Finding the Fourth Proportional to 1,552.68, 2,142.06 and 923.16

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Solution

The fourth proportional to 1,552.68, 2,142.06 and 923.16 is: 1,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.68 : 2,142.06 = 923.16 : x
  2. Step 2: Convert to fraction form
    1,552.68/2,142.06 = 923.16/x
  3. Step 3: Cross multiply
    1,552.68x = 2,142.06 × 923.16
  4. Step 4: Simplify right side
    1,552.68x = 1,977,464.11
  5. Step 5: Solve for x
    x = 1,977,464.11/1,552.68
  6. Step 6: Final answer
    x = 1,273.58

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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.