Home / 1,542.02-2,128.14-912.75

Finding the Fourth Proportional to 1,542.02, 2,128.14 and 912.75

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Solution

The fourth proportional to 1,542.02, 2,128.14 and 912.75 is: 1,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,128.14 = 912.75 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,128.14 = 912.75/x
  3. Step 3: Cross multiply
    1,542.02x = 2,128.14 × 912.75
  4. Step 4: Simplify right side
    1,542.02x = 1,942,459.79
  5. Step 5: Solve for x
    x = 1,942,459.79/1,542.02
  6. Step 6: Final answer
    x = 1,259.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.