Home / 1,935.24-2,902.65-1,314.53

Finding the Fourth Proportional to 1,935.24, 2,902.65 and 1,314.53

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Solution

The fourth proportional to 1,935.24, 2,902.65 and 1,314.53 is: 1,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.24 : 2,902.65 = 1,314.53 : x
  2. Step 2: Convert to fraction form
    1,935.24/2,902.65 = 1,314.53/x
  3. Step 3: Cross multiply
    1,935.24x = 2,902.65 × 1,314.53
  4. Step 4: Simplify right side
    1,935.24x = 3,815,619.34
  5. Step 5: Solve for x
    x = 3,815,619.34/1,935.24
  6. Step 6: Final answer
    x = 1,971.65

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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.