Home / 1,542.02-2,128.30-1,076

Finding the Fourth Proportional to 1,542.02, 2,128.30 and 1,076

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Solution

The fourth proportional to 1,542.02, 2,128.30 and 1,076 is: 1,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,128.30 = 1,076 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,128.30 = 1,076/x
  3. Step 3: Cross multiply
    1,542.02x = 2,128.30 × 1,076
  4. Step 4: Simplify right side
    1,542.02x = 2,290,050.80
  5. Step 5: Solve for x
    x = 2,290,050.80/1,542.02
  6. Step 6: Final answer
    x = 1,485.10

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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.