Home / 2,038.02-3,057.30-577.14

Finding the Fourth Proportional to 2,038.02, 3,057.30 and 577.14

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Solution

The fourth proportional to 2,038.02, 3,057.30 and 577.14 is: 865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.02 : 3,057.30 = 577.14 : x
  2. Step 2: Convert to fraction form
    2,038.02/3,057.30 = 577.14/x
  3. Step 3: Cross multiply
    2,038.02x = 3,057.30 × 577.14
  4. Step 4: Simplify right side
    2,038.02x = 1,764,490.12
  5. Step 5: Solve for x
    x = 1,764,490.12/2,038.02
  6. Step 6: Final answer
    x = 865.79

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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.