Home / 1,977.16-2,959.82-1,607.72

Finding the Fourth Proportional to 1,977.16, 2,959.82 and 1,607.72

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Solution

The fourth proportional to 1,977.16, 2,959.82 and 1,607.72 is: 2,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.16 : 2,959.82 = 1,607.72 : x
  2. Step 2: Convert to fraction form
    1,977.16/2,959.82 = 1,607.72/x
  3. Step 3: Cross multiply
    1,977.16x = 2,959.82 × 1,607.72
  4. Step 4: Simplify right side
    1,977.16x = 4,758,561.81
  5. Step 5: Solve for x
    x = 4,758,561.81/1,977.16
  6. Step 6: Final answer
    x = 2,406.77

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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.