Home / 1,901.06-2,852.14-977.28

Finding the Fourth Proportional to 1,901.06, 2,852.14 and 977.28

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Solution

The fourth proportional to 1,901.06, 2,852.14 and 977.28 is: 1,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.06 : 2,852.14 = 977.28 : x
  2. Step 2: Convert to fraction form
    1,901.06/2,852.14 = 977.28/x
  3. Step 3: Cross multiply
    1,901.06x = 2,852.14 × 977.28
  4. Step 4: Simplify right side
    1,901.06x = 2,787,339.38
  5. Step 5: Solve for x
    x = 2,787,339.38/1,901.06
  6. Step 6: Final answer
    x = 1,466.20

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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.