Home / 2,013.02-3,020.71-780.36

Finding the Fourth Proportional to 2,013.02, 3,020.71 and 780.36

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Solution

The fourth proportional to 2,013.02, 3,020.71 and 780.36 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.02 : 3,020.71 = 780.36 : x
  2. Step 2: Convert to fraction form
    2,013.02/3,020.71 = 780.36/x
  3. Step 3: Cross multiply
    2,013.02x = 3,020.71 × 780.36
  4. Step 4: Simplify right side
    2,013.02x = 2,357,241.26
  5. Step 5: Solve for x
    x = 2,357,241.26/2,013.02
  6. Step 6: Final answer
    x = 1,171.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.