Home / 1,981.35-2,965.01-1,460.12

Finding the Fourth Proportional to 1,981.35, 2,965.01 and 1,460.12

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Solution

The fourth proportional to 1,981.35, 2,965.01 and 1,460.12 is: 2,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.35 : 2,965.01 = 1,460.12 : x
  2. Step 2: Convert to fraction form
    1,981.35/2,965.01 = 1,460.12/x
  3. Step 3: Cross multiply
    1,981.35x = 2,965.01 × 1,460.12
  4. Step 4: Simplify right side
    1,981.35x = 4,329,248.28
  5. Step 5: Solve for x
    x = 4,329,248.28/1,981.35
  6. Step 6: Final answer
    x = 2,185.00

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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.