Home / 1,524.42-2,102.63-935.28

Finding the Fourth Proportional to 1,524.42, 2,102.63 and 935.28

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Solution

The fourth proportional to 1,524.42, 2,102.63 and 935.28 is: 1,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.42 : 2,102.63 = 935.28 : x
  2. Step 2: Convert to fraction form
    1,524.42/2,102.63 = 935.28/x
  3. Step 3: Cross multiply
    1,524.42x = 2,102.63 × 935.28
  4. Step 4: Simplify right side
    1,524.42x = 1,966,543.11
  5. Step 5: Solve for x
    x = 1,966,543.11/1,524.42
  6. Step 6: Final answer
    x = 1,290.03

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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.