Home / 2,154-2,972.52-1,534.08

Finding the Fourth Proportional to 2,154, 2,972.52 and 1,534.08

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Solution

The fourth proportional to 2,154, 2,972.52 and 1,534.08 is: 2,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 2,972.52 = 1,534.08 : x
  2. Step 2: Convert to fraction form
    2,154/2,972.52 = 1,534.08/x
  3. Step 3: Cross multiply
    2,154x = 2,972.52 × 1,534.08
  4. Step 4: Simplify right side
    2,154x = 4,560,083.48
  5. Step 5: Solve for x
    x = 4,560,083.48/2,154
  6. Step 6: Final answer
    x = 2,117.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.