Home / 1,343.29-2,010.75-977.98

Finding the Fourth Proportional to 1,343.29, 2,010.75 and 977.98

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Solution

The fourth proportional to 1,343.29, 2,010.75 and 977.98 is: 1,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.29 : 2,010.75 = 977.98 : x
  2. Step 2: Convert to fraction form
    1,343.29/2,010.75 = 977.98/x
  3. Step 3: Cross multiply
    1,343.29x = 2,010.75 × 977.98
  4. Step 4: Simplify right side
    1,343.29x = 1,966,473.29
  5. Step 5: Solve for x
    x = 1,966,473.29/1,343.29
  6. Step 6: Final answer
    x = 1,463.92

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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.