Home / 1,415.70-1,966.77-1,402.20

Finding the Fourth Proportional to 1,415.70, 1,966.77 and 1,402.20

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Solution

The fourth proportional to 1,415.70, 1,966.77 and 1,402.20 is: 1,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.70 : 1,966.77 = 1,402.20 : x
  2. Step 2: Convert to fraction form
    1,415.70/1,966.77 = 1,402.20/x
  3. Step 3: Cross multiply
    1,415.70x = 1,966.77 × 1,402.20
  4. Step 4: Simplify right side
    1,415.70x = 2,757,804.89
  5. Step 5: Solve for x
    x = 2,757,804.89/1,415.70
  6. Step 6: Final answer
    x = 1,948.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.